2007 AMC 12B Problems/Problem 2: Difference between revisions
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==Problem== | |||
A college student drove his compact car 120 miles home for the weekend and averaged 30 miles per gallon. On the return trip the student drove his parents' SUV and averaged only 20 miles per gallon. What was the average gas mileage, in miles per gallon, for the round trip? | |||
A | <math>\mathrm {(A)} 22</math> <math>\mathrm {(B)} 24</math> <math>\mathrm {(C)} 25</math> <math>\mathrm {(D)} 26</math> <math>\mathrm {(E)} 28</math> | ||
==Solution== | |||
The trip was 240 miles, and <math>\dfrac{120}{30}+\dfrac{120}{20}=4+6=10</math> gallons. Therefore, the average milage was <math>\dfrac{240}{10}=24 \Rightarrow \mathrm {(B)}</math> miles per gallon. | |||
==See Also== | |||
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{{AMC12 box|year=2007|ab=B|num-b=1|num-a=3}} | |||
Revision as of 09:02, 17 October 2007
Problem
A college student drove his compact car 120 miles home for the weekend and averaged 30 miles per gallon. On the return trip the student drove his parents' SUV and averaged only 20 miles per gallon. What was the average gas mileage, in miles per gallon, for the round trip?
Solution
The trip was 240 miles, and 
gallons. Therefore, the average milage was 
miles per gallon.
See Also
| 2007 AMC 12B (Problems • Answer Key • Resources) | |
| Preceded by Problem 1 |
Followed by Problem 3 |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
| All AMC 12 Problems and Solutions | |
