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