daily express mensa teaser 23/05/12

Hi

Please could someone shed some light on today's puzzle. The clue is as follows:

A car has travelled 150 miles at 40mph. It started its journey with eight gallons of fuel but its tank has been leaking throughout the journey and is now dry. The car completes 40 miles per gallon. How many gallons of fuel does it leak per hour?

Thanks
11:23 Wed 23rd May 2012

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 I make it 1.4 gallons lost per hour 11:31 Wed 23rd May 2012 I make it 2.13 gallons per hour. The journey takes 3.75 hours. (150 miles at 40 mph) You have lost 8 gallons in 3.75 hours. 11:35 Wed 23rd May 2012 I get 1.14 gal/hr 11:35 Wed 23rd May 2012 But, Grasscarp, you're not allowing for normal fuel usage on journey. 11:37 Wed 23rd May 2012 forget my solution. Fatally flawed! I was working on consumption, not leakage. 11:37 Wed 23rd May 2012 I get 1.1333 Youve used 3.75 gallons driving so you've only LOST 4.25 gallons in 3.75 hours 11:38 Wed 23rd May 2012 Hangs head in shame and slinks away. 11:38 Wed 23rd May 2012 I get 1 and 2/15ths gallons per hour 11:39 Wed 23rd May 2012 -- answer removed -- Question Author Thanks for your help Please can you explain how you get the answer 1.4 gallons per hour? I make it 2.13 gallons per hour. Thanks 11:40 Wed 23rd May 2012 Yes, you're right, Calibax. I subtracted 3.75 from 8 and got 5.25. Doh. 11:41 Wed 23rd May 2012 Leaks 2.55 gallons per hour. 11:42 Wed 23rd May 2012 You start with 8 gal You consume 3.75 gal in the engine leaving 4.25 gal lost through leakage. Journey time is 3.75 hours leakage rate is 4.25/3.75 = 1.1333 gal/hour 11:42 Wed 23rd May 2012 Car uses a gallon every 40 miles so over 150miles uses 3.75 gallons. Full tank = 8 galls less 'used' of 3.75 galls = 4.25 galls 'lost' Journey takes 150 miles / at 40 mph = 3.75 hours So 'loss' per hour = 4.25/3.75 = 1.13333 galls per hour 11:43 Wed 23rd May 2012 You've used 3.75 gallons driving (150mi @ 40mpg = 150/40) in 3.75 hours (150mi @40mph = 150/40). You started with 8 gal so you've lost 8-3.75=4.25 gallons due to leakage. So leakage rate is 4.25 gal in 3.75 hours = 4.25/3.75 = 1.13333 gallons per hour 11:45 Wed 23rd May 2012 Question Author Thanks so much...all is clear now!!! 11:47 Wed 23rd May 2012 Now agree with Calibax, must get a calculator with BIGGER buttons ;o) 11:48 Wed 23rd May 2012

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