dixitraghav wrote:

Car X leaves Town A at 2 p.m. and drives toward Town B at a constant rate of m miles per hour. Fifteen minutes later, Car Y begins driving from Town B to Town A at a constant rate of n miles an hour. If both Car X and Car Y drive along the same route, will Car X be closer to Town A or Town B when it passes Car Y ?

(1) Car X arrives in Town B 90 minutes after leaving city A.

(2) Car Y arrives in Town A at the same time Car X arrived in Town B.

One needs to picture this problem

We are basically being told the following

We have 2 cars: X and Y , with different unknown speeds 'm' and 'n'

Finally, X has a head start of 15 minutes

Question is, what car will cover the greater distance in the same time

So basically, we need the relative rates to figure out whether B can make up for that lost time

Statement 1

Insuff. We know nothing about 'n' = rate of Y

Statement 2

Suff

If they arrived at the same time at their destinations then Y is faster than X for sure.

Now, do we need to find the exact answer? No, this is a DS question. I'm confident that there can only be an absolute difference between both rates so that will answer my question for sure

But just to elaborate, if they meet somewhere then since Y is faster then it will need less time to reach its destination. So for sure X will be closer to town B

Hence answer is B

Hope it helps

Cheers!

J