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Car \(X\) and Car \(Y\) traveled the same 80-mile route. If

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by swerve » Thu Jun 27, 2019 3:03 pm

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Car \(X\) and Car \(Y\) traveled the same 80-mile route. If Car \(X\) took 2 hours and Car \(Y\) traveled at an average speed that was 50 percent faster than the average speed of Car \(X\), how many hours did it take Car \(Y\) to travel the route?

A. \(2/3\)
B. \(1\)
C. \(4/3\)
D. \(8/5\)
E. \(3\)

The OA is C

Source: GMAT Paper Tests
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Source: — Problem Solving |

by Scott@TargetTestPrep » Wed Jul 10, 2019 4:20 pm
swerve wrote:Car \(X\) and Car \(Y\) traveled the same 80-mile route. If Car \(X\) took 2 hours and Car \(Y\) traveled at an average speed that was 50 percent faster than the average speed of Car \(X\), how many hours did it take Car \(Y\) to travel the route?

A. \(2/3\)
B. \(1\)
C. \(4/3\)
D. \(8/5\)
E. \(3\)

The OA is C

Source: GMAT Paper Tests
We are given that Car X traveled 80 miles in 2 hours. Thus, the rate of Car X was 80/2 = 40 mph.

We are also given that Car Y traveled 50% faster than Car X. Thus, Car Y traveled at a rate of 1.5 x 40 = 60 mph.

So, it took Car Y 80/60 = 8/6 = 4/3 hours to travel the same route.

Answer: C

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