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While on a straight road, Car X and Car Y are traveling at [#permalink]
17 Mar 2012, 17:44

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Difficulty:

5% (low)

Question Stats:

73% (01:51) correct
27% (01:16) wrong based on 298 sessions

While on a straight road, Car X and Car Y are traveling at different constant rates. If Car X is now 1 mile ahead of Car Y, how many minutes from now will Car X be 2 miles ahead of Car Y ?

(1) Car X is traveling at 50 miles per hour and Car Y is traveling at 40 miles per hour. (2) Three minutes ago Car X was 1/2 mile ahead of Car Y.

Re: While on a straight road, Car X and Car Y are traveling at [#permalink]
01 Aug 2013, 12:00

1

This post received KUDOS

While on a straight road, Car X and Car Y are traveling at different constant rates. If Car X is now 1 mile ahead of Car Y, how many minutes from now will Car X be 2 miles ahead of Car Y ?

Car X is traveling at a greater speed/rate than Y.

(1) Car X is traveling at 50 miles per hour and Car Y is traveling at 40 miles per hour.

Car X is traveling at 5/6 miles/minute. Car Y is traveling at 4/6 miles/minute.

Every minute, Car X moves away from car Y at a rate of (5/6) - (4/6) = 1/6 miles. Therefore, car X will have moved an additional mile away from car Y in six minutes. SUFFICIENT

(2) Three minutes ago Car X was 1/2 mile ahead of Car Y. In three minutes, car X managed to move 1/2 mile further away from Y. Because both cars were moving at constant rates, car x would have moved away from Y at a rate of 1/6 miles per minute, or 3/6 = 1/2 miles in three minutes. We know how long it takes x to move 1/2 mile from Y and because the speed of Y is constant, the rate at which x moves away from y will be constant as well. SUFFICIENT

Re: While on a straight road, car X and car Y are traveling at [#permalink]
18 Mar 2012, 06:21

Expert's post

1

This post was BOOKMARKED

While on a straight road, Car X and Car Y are traveling at different constant rates. If Car X is now 1 mile ahead of Car Y, how many minutes from now will Car X be 2 miles ahead of Car Y ?

(1) Car X is traveling at 50 miles per hour and Car Y is traveling at 40 miles per hour --> since we have the rates of both cars and the distance between them we can calculate any other question regarding them. Sufficient.

(2) Three minutes ago Car X was 1/2 mile ahead of Car Y --> car X gains 1/2 mile in every 3 minutes (since now it's 1 mile ahead), hence it'll gain additional 1 mile in next 6 minutes. Sufficient.

Re: While on a straight road, Car X and Car Y are traveling at [#permalink]
22 Oct 2013, 10:43

WholeLottaLove wrote:

While on a straight road, Car X and Car Y are traveling at different constant rates. If Car X is now 1 mile ahead of Car Y, how many minutes from now will Car X be 2 miles ahead of Car Y ?

Car X is traveling at a greater speed/rate than Y.

(1) Car X is traveling at 50 miles per hour and Car Y is traveling at 40 miles per hour.

Car X is traveling at 5/6 miles/minute. Car Y is traveling at 4/6 miles/minute.

Every minute, Car X moves away from car Y at a rate of (5/6) - (4/6) = 1/6 miles. Therefore, car X will have moved an additional mile away from car Y in six minutes. SUFFICIENT

(2) Three minutes ago Car X was 1/2 mile ahead of Car Y. In three minutes, car X managed to move 1/2 mile further away from Y. Because both cars were moving at constant rates, car x would have moved away from Y at a rate of 1/6 miles per minute, or 3/6 = 1/2 miles in three minutes. We know how long it takes x to move 1/2 mile from Y and because the speed of Y is constant, the rate at which x moves away from y will be constant as well. SUFFICIENT

(D)

Correction in the explanation. Every minute, Car X moves away from car Y at a rate of (5/6) - (4/6) = 1/3 miles. Therefore, car X will have to travel for 6 mins to move 2 miles farther away from car Y..

Re: While on a straight road, Car X and Car Y are traveling at [#permalink]
18 May 2014, 09:56

Statement 1: Car X is traveling at 50 miles per hour and car Y is traveling at 40 miles per hour. Notice that we could easily duplicate this scenario in real life. Start with Car X 1 mile ahead of car Y (given info) Have Car X drive at 50 mph and car Y at 40mph. Use a stopwatch to time how long it takes for Car X to be 2 miles ahead of Y. As you can see, we have enough information to answer the target question Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: 3 minutes ago car X was 1/2 mile ahead of car Y. If car X is presently 1 mile ahead, we can see that car X gains 1/2 mile every 3 minutes. At that rate, car X will gain another 1 mile in 6 minutes. Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Hence D

gmatclubot

Re: While on a straight road, Car X and Car Y are traveling at
[#permalink]
18 May 2014, 09:56