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25 Oct 2007, 06:23
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At noon, Paul stopped at a gas station and filled his car's 50 litre tank to its capacity. After he drove 75 miles away from the station, the tank developed a leak and the car started to lose 1/5 litres of fuel per minute. If he is travelling at a constant speed of 50 miles per hour and his car consumes 10 litres every 100 miles, what time will his car stop moving?
4 pm
4:15 pm
4:30 pm
5:00 pm
5:20 pm
4 pm
4:15 pm
4:30 pm
5:00 pm
5:20 pm
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This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
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25 Oct 2007, 06:42
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bmwhype2
12pm, 50 liter
After 75 miles, gas consumption only, 10/100 * 75 = 7.5 liter, so 42.5 liter left, time taken 1/50*75 = 1.5 hour, so in sum:
1.30pm, 42.5 liter
Beyond 75 mile, you have leak and gas consumption
leak = 1/5 liter/min
consume = 10/100 liter/mile
Set x = distance in miles
Set t = total time in hour
10/100 * x = total consume
x = 50t
So we have:
(1) 5t = total consume
(2) 1/5 * 60t = 12t = total leak
Looking for t:
42.5 - 12t - 5t = 0
42.5 = 17t
t = 2.5 hour
Therefore, the car will stop at 2.5 hour after 1.30pm
Ans = 4pm
25 Oct 2007, 09:12
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I get 4:00pm as well...
lets see
first he consumes 7.5 litres of fuel, i.e its already 1:30pm
he develops a leak
looses 1/5 * 60=12 litres/hr
he is burning 5litres/hr driving which is 17litres/hr
42.5litres/17=2.5 hr
hes already driven 1.5 hr
totally time to burnout 1.5+2.5=4pm
lets see
first he consumes 7.5 litres of fuel, i.e its already 1:30pm
he develops a leak
looses 1/5 * 60=12 litres/hr
he is burning 5litres/hr driving which is 17litres/hr
42.5litres/17=2.5 hr
hes already driven 1.5 hr
totally time to burnout 1.5+2.5=4pm
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
