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How to solve this

by bajahaya » Fri Aug 13, 2010 1:34 am
Andrew drove his truck 100 miles, rounded to the nearest 10 miles, and used 10 gallons of gasoline, rounded to the nearest gallon. The actual number of miles per gallon that Tom's truck got on this vacation trip must have been between

Choices

A 100/10.5 and 100/9.5

B 95/10.5 and 105/9.5

C 95/9.5 and 105/10.5

D 105/10 and 95/9.5

E 105/10.5 and 95/9.5
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by limestone » Fri Aug 13, 2010 2:06 am
The correct Answer is B.

The lower limit of the range is the possible min mileage over the possible max gallon (95/10.5).

The upper limit is the possible max mileage over possible min gallon ( 105/9.5).
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by kmittal82 » Fri Aug 13, 2010 2:12 am
Let the distance be x

Rounding off to the nearest tenth, we get 95 <= x <= 105

Let the amount of gasoline be y

Rounding off to the nearest gallon, we get 9.5 <= y <= 10.5

The above is the key to the question, once you understand the rounding off part, the rest is easy enough.

As limestone said, lower limit of range is minimum distance travelled / max fuel used = 95/10.5 and maximum value is maximum distance travelled / minimum fuel used = 105/9.5
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by saurabhmahajan » Fri Aug 13, 2010 2:49 am
Are there two guys driving the same truck?

Andrew drove his truck 100 miles, rounded to the nearest 10 miles, and used 10 gallons of gasoline, rounded to the nearest gallon. The actual number of miles per gallon that Tom's truck got on this vacation trip must have been between
Thanks and regards,
Saurabh Mahajan

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