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Post by liz on Jan 7, 2010 11:17:02 GMT
September
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Post by BC on Jan 7, 2010 12:16:53 GMT
366 + 11 = 377 377 / 13 = 29 29 + 31 = 60 60 + 3 = 63 63 / 7 = 9 9 = September I agree with you Liz - you beat me to the post reply button!  |
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Post by Kimmy on Jan 8, 2010 19:21:31 GMT
September. The numbers used are 366, +11, /13, +31, +3, /7 = 9. : :DD
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Post by Kimmy on Jan 8, 2010 19:22:57 GMT
Puzzle 38 Start with a number larger than 0, square it, add 4, double, take away 3, times 4 and finally subtract the original number. If you were now left with 20, what number did you start with?  |
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Post by Kimmy on Jan 9, 2010 10:12:44 GMT
1/8.  Did you get it at home?  Do you understand the answer?  |
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Post by Kimmy on Jan 9, 2010 10:14:35 GMT
Try this at home whilst waiting for the inspections. Puzzle 39 Assume that penguins live with a density of 1,000 penguins per square mile and can run at an average speed of 7 miles per hour on land and swim at 20 miles per hour. Also assume that a polar bear has a territory of 10 square miles, can run at 25 miles per hour and swim at 10 miles per hour, how many penguins will an average polar bear eat in any given month, remembering that a polar bear could, as a maximum, only eat one penguin per hour and 7% of the land is next to the sea.  |
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Post by BC on Jan 9, 2010 14:12:54 GMT
Puzzle 38 Start with a number larger than 0, square it, add 4, double, take away 3, times 4 and finally subtract the original number. If you were now left with 20, what number did you start with? I didn't even see this one!  |
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Post by BC on Jan 9, 2010 14:19:52 GMT
Try this at home whilst waiting for the inspections. Puzzle 39 Assume that penguins live with a density of 1,000 penguins per square mile and can run at an average speed of 7 miles per hour on land and swim at 20 miles per hour. Also assume that a polar bear has a territory of 10 square miles, can run at 25 miles per hour and swim at 10 miles per hour, how many penguins will an average polar bear eat in any given month, remembering that a polar bear could, as a maximum, only eat one penguin per hour and 7% of the land is next to the sea. And I wish I hadn't seen this one.  |
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Post by BC on Jan 9, 2010 14:28:26 GMT
"Any given month" could be 28 days, 30 days or 31 days. So as it isn't possible to work out an average monthly penguin consumption, I shall assume it is a trick question. (Or do you multiply a days munching by 365 and divide by 12?) I think the penguins see him coming and jump into the sea and out-swim him. So he gets fed up with chasing penguins and doesn't eat any. He has to make do with eskimos instead. 
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Post by liz on Jan 10, 2010 12:53:42 GMT
Is it polar bears are at the North Pole and penguins at the South?
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Post by Kimmy on Jan 10, 2010 13:34:04 GMT
None: polar bears live at the north pole and penguins live at the south pole!   |
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Post by Kimmy on Jan 10, 2010 13:35:01 GMT
Puzzle 43
A car travelled from London at a speed of 40mph. Its fuel consumption was 30 mpg. It had a 5 gallon tank which was full when it started, but at that very moment began to leak fuel. After 60 miles the car stopped with a completely empty tank. How many gallons per hour was it losing?
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Post by BC on Jan 10, 2010 16:40:10 GMT
Puzzle 38 Start with a number larger than 0, square it, add 4, double, take away 3, times 4 and finally subtract the original number. If you were now left with 20, what number did you start with? I was looking at this one, just for fun... 1/8 is 0.125, so... square it = 0.015625 add 4 = 4.015625 double = 8.03125 take away 3 = 5.03125 times 4 = 20.125 finally subtract the original number = 20 But could I have worked it out without the answer?  |
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Post by BC on Jan 10, 2010 20:09:16 GMT
Puzzle 43 A car travelled from London at a speed of 40mph. Its fuel consumption was 30 mpg. It had a 5 gallon tank which was full when it started, but at that very moment began to leak fuel. After 60 miles the car stopped with a completely empty tank. How many gallons per hour was it losing? This is a tough one. The maximum distance it could travel without fueling is 150 miles, taking 225 minutes, so... 5 gallons : 225 mins 1 gallon : 45 mins It breaks down at 60 miles, taking 90 minutes therefore used 2 gallons So it lost 3 gallons in total. But it took 90 minutes to lose the 3 gallons Meaning that it lost 2 gallons per hour. Fingers crossed. |
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Post by Kimmy on Jan 11, 2010 13:14:15 GMT
2 gallons per hour. The car travelled 60 miles before stopping, this means it used 2 gallons. The car took 1.5 hours to travel 60 miles. Therefore the car lost 3 gallons in 1.5 hours = 2 gallons per hour.  |
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Post by Kimmy on Jan 11, 2010 13:16:00 GMT
Hope you are trying these in the office.  Puzzle 44 In farmer Brown's hay loft there are a number of animals, in particular crows, mice and cockroaches. Being bored one day, I decided to count the animals and found there were exactly 150 feet and 50 heads in total, and there were twice as many cockroaches as mice. How many of each animal were there?  |
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Post by BC on Jan 11, 2010 13:59:20 GMT
Mrs BlackCat has done this one with me. (Now she knows what I'm doing when I'm supposed to be working!)We think there are 35 crows, 5 mice and 10 cockroachesWorkingsHeads:35 + 5 + 10 = 50 heads Feet:Crows: 35 x 2 feet = 70 Mice: 5 x 4 feet = 20 Cockroaches: 10 x 6 feet = 60 70 + 20 + 60 = 150 feet BC & Mrs. BC |
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Post by Kimmy on Jan 12, 2010 12:39:13 GMT
10 cockroaches, 5 mice and 35 birds. |
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Post by Kimmy on Jan 12, 2010 12:40:19 GMT
Try this in your dinner break.
Puzzle 45
Our local scrap merchant had to travel to the county recycling plant, 60 miles away. On the way there he could only manage a steady 12mph, fully laden. On the way back, he could manage a steady 16mph. He placed 24 gallons of fuel in the tank ready for the round trip, thinking that this would be enough as the wagon managed to travel 8 miles per gallon. Unfortunately, a piece of metal pierced his fuel pipe at the start of the trip and the wagon started to lose 1 gallon of fuel per hour. Luckily he only lost fuel when moving and he lost no fuel whilst unloading his scrap metal. Were 24 gallons enough for the round trip?
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Post by BC on Jan 12, 2010 20:17:44 GMT
Try this in your dinner break. Puzzle 45 Our local scrap merchant had to travel to the county recycling plant, 60 miles away. On the way there he could only manage a steady 12mph, fully laden. On the way back, he could manage a steady 16mph. He placed 24 gallons of fuel in the tank ready for the round trip, thinking that this would be enough as the wagon managed to travel 8 miles per gallon. Unfortunately, a piece of metal pierced his fuel pipe at the start of the trip and the wagon started to lose 1 gallon of fuel per hour. Luckily he only lost fuel when moving and he lost no fuel whilst unloading his scrap metal. Were 24 gallons enough for the round trip? The short answer is Yes. Just. Workings: 24g @ 8mpg is enough for 192 miles The round trip is 120 miles. At 12mph, it takes 5 hours to cover 60 miles At 16mph, it takes 3 hours and 45 minutes to cover 60 miles In total, that's 8 hours and 45 minutes (or 8.75 hours). If he loses 1 gallon of fuel per hour for 8.75 hours, that is 8.75 gallons. 24 gallons that he started off with - 8.75 gallons lost = 15.25 gallons left. 15.25 gallons @ 8mpg = 122 miles. The round trip completed and 2 miles to spare.
Could it be that simple? (joke) |
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Post by Kimmy on Jan 13, 2010 12:59:23 GMT
Yes, the trip itself used 15 gallons and the wagon lost 8.75 gallons during transit = 23.75 gallons, of the available 24 gallons. |
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Post by Kimmy on Jan 13, 2010 13:00:29 GMT
How are you getting on with them at home? Puzzle 48 A fire engine was rushing to a small fire, 15 miles away. The fire engine set out with 120 gallons of water, however, the water tank had a leak and the fire engine was losing water at the rate of 2 gallons per minute. The fire engine travelled at a constant 30 miles per hour. The fire required 50 gallons of water - did the fire engine have enough water when it arrived?  |
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Post by BC on Jan 13, 2010 20:03:08 GMT
Puzzle 48 A fire engine was rushing to a small fire, 15 miles away. The fire engine set out with 120 gallons of water, however, the water tank had a leak and the fire engine was losing water at the rate of 2 gallons per minute. The fire engine travelled at a constant 30 miles per hour. The fire required 50 gallons of water - did the fire engine have enough water when it arrived? 15 miles @ 30mph means the jouney took 30 minutes 2 gallons lost per minute x 30 minutes = 60 gallons lost 120 gallons at start less 60 gallons lost = 60 gallons remaining. So the short answer is again YES. BC |
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Post by liz on Jan 14, 2010 11:06:07 GMT
Beat me to it BC. |
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Post by Kimmy on Jan 14, 2010 12:05:01 GMT
Yes: the journey took 30 minutes. In that time the fire engine lost 60 gallons of water - leaving 60 gallons with which to fight the fire. |
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Post by Kimmy on Jan 14, 2010 12:06:23 GMT
Come on now get back to your desks dinner break over. Puzzle 49 My local greengrocer is a would-be mathematician. He likes to arrange his apples in nice rows. However, when he lays his apples in rows of 3 he has one left over. When he lays them in rows of 5 he also has one left over. Remarkably he also has one left over when he arranges them in rows of 7 and 9. 11 seems to be the magic number, for, in rows of 11 there are no apples left over. How many apples does the greengrocer have? |
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Post by BC on Jan 14, 2010 22:50:10 GMT
Lots. |
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Post by Kimmy on Jan 15, 2010 8:52:09 GMT
946. Well it was lots. |
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Post by Kimmy on Jan 15, 2010 8:54:26 GMT
Did you get the last one? If not never mind 'Take A Letter.'  Puzzle 50 Move from letter to letter and collect the necessary letters for DUCK. How many different routes can you take if you always start with the central D and always move either horizontally or vertically? K CUK KCKUK KUCDUUC UCKKU KUK C |
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Post by BC on Jan 16, 2010 1:24:46 GMT
Did you get the last one? If not never mind 'Take A Letter.' Puzzle 50 Move from letter to letter and collect the necessary letters for DUCK. How many different routes can you take if you always start with the central D and always move either horizontally or vertically? K CUK KCKUK KUCDUUC UCKKU KUK C No, I didn't get the last one. Did anybody else get it?
Puzzle 50 If you stick stricly horizontally and vertically, like the castle in chess, then I can see 0. If you allow castle and bishop moves, then I can see 3. I think I'm probably back to getting them wrong. It was nice to get a few while it lasted. BC |
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