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WHile on a straight road, car X and Y are travelling at [#permalink]

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13 Oct 2008, 05:36

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D

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The question is:

WHile on a straight road, car X and Y are travelling 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 travelling at 50 mph and car Y is travelling at 40 mph

2. 3 minutes ago, car X was 1/2 mile ahead of car Y.

My problem is, while it makes logical sense in my head that both will be individually be enough to answer the question, I am not sure, because I can not reach the answer using the second statement.

Let's say after certain time T, the two cars are 2 miles apart. In this time T, the distance travelled by car X = D1 and in the same Time T, distance travelled by car Y = D2 We know D(x) - D(y) = 2 => D(y) = D(x) + 2

Lets take case 1) Car X is speeding at 50MPH Car Y is speeding at 40MPH

The correct answer is actually D. Both statements are individually correct.

Intuitively, that's what I thought as well..

But could somebody shed mroe light on it, by arriving at the answer mathematically, from the second statement.

Please taht would hlep me understand it better.

he question is:

WHile on a straight road, car X and Y are travelling 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 travelling at 50 mph and car Y is travelling at 40 mph

2. 3 minutes ago, car X was 1/2 mile ahead of car Y.

The correct answer is actually D. Both statements are individually correct.

Intuitively, that's what I thought as well..

But could somebody shed mroe light on it, by arriving at the answer mathematically, from the second statement.

Please taht would hlep me understand it better.

he question is:

WHile on a straight road, car X and Y are travelling 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 travelling at 50 mph and car Y is travelling at 40 mph

2. 3 minutes ago, car X was 1/2 mile ahead of car Y.