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Car X and Car Y traveled the same 80-mile route. If Car X to

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Car X and Car Y traveled the same 80-mile route. If Car X to [#permalink] New post 23 Jun 2020, 04:53
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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
[Reveal] Spoiler: OA

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Re: Car X and Car Y traveled the same 80-mile route. If Car X to [#permalink] New post 23 Jun 2020, 04:53
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Re: Car X and Car Y traveled the same 80-mile route. If Car X to [#permalink] New post 23 Jun 2020, 05:27
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Carcass 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


There's a nice rule we can use here.

To set up the rule, recognize that if Y travels 2 times as fast as X, then Y's travel time will be 1/2 of X's.
Similarly, if Y travels 3 times as fast as X, then Y's travel time will be 1/3 of X's.
Or if Y travels 1/4 as fast as X, then Y's travel time will be 4 times X's travel time.

In general, if Y travels a/b times as fast as X, then Y's travel time will be b/a of X's travel time.

So, if Y's speed is 50% more than X's speed, we can say that Y travels 1.5 times as fast as X.
In other words, if Y travels 3/2 times as fast as X, which means Y's travel time will be 2/3 that of X's travel time.

Since X's travel time is 2 hours, Y's travel time will be (2/3)(2) = 4/3 = 1 1/3

Answer: C

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Brent
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Re: Car X and Car Y traveled the same 80-mile route. If Car X to [#permalink] New post 27 Jun 2020, 14:59
speed = distance / time
Car X speed = 80 / 2 = 40 miles per hour
Car Y = 40 + (40*50%) = 60 miles per hour

time = distance / speed
Car Y time = 80 /60 = 4/3

answer C
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Re: Car X and Car Y traveled the same 80-mile route. If Car X to   [#permalink] 27 Jun 2020, 14:59
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