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gmatophobia

Bunuel
Cars X and Y were traveling together on a straight road at a constant speed of 55 miles per hour when car X stopped for 5 minutes. If car Y continued to travel at 55 miles per hour, how many minutes from the time that car X resumed traveling did it take car X traveling at 60 miles per hour to catch up with car Y?(Assume
that the time for car X to slow down and speed up was negligible.)

(A) 5
(B) 30
(C) 45
(D) 55
(E) 60
Car X stopped for \(\frac{5}{60}\) hours

Distance Car Y travelled when Car X stopped = \(\frac{5}{60} * 55 = \frac{55}{12}\) miles

Relative speed between Car Y and Car X = 60 - 55 = 5mph

Time Car X will take to catch up = Time Car X will take to cover the gap distance = \(\frac{55}{12} * \frac{1}{5} = \frac{11}{12}\) hours

Time in minutes = \(\frac{11}{12} * 60 = 55\) mins

Option D
­
Could you please help me understand how we got 1/5 from 5 miles and why we are multiplying it with 55/12? I am a little confused.   
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MaxBlack11

gmatophobia

Bunuel
Cars X and Y were traveling together on a straight road at a constant speed of 55 miles per hour when car X stopped for 5 minutes. If car Y continued to travel at 55 miles per hour, how many minutes from the time that car X resumed traveling did it take car X traveling at 60 miles per hour to catch up with car Y?(Assume
that the time for car X to slow down and speed up was negligible.)

(A) 5
(B) 30
(C) 45
(D) 55
(E) 60
Car X stopped for \(\frac{5}{60}\) hours

Distance Car Y travelled when Car X stopped = \(\frac{5}{60} * 55 = \frac{55}{12}\) miles

Relative speed between Car Y and Car X = 60 - 55 = 5mph

Time Car X will take to catch up = Time Car X will take to cover the gap distance = \(\frac{55}{12} * \frac{1}{5} = \frac{11}{12}\) hours

Time in minutes = \(\frac{11}{12} * 60 = 55\) mins

Option D
­
Could you please help me understand how we got 1/5 from 5 miles and why we are multiplying it with 55/12? I am a little confused.   
­Catch up time = Distance between the cars/relarive speed = (55/12)/5 = 55/(12*5) = 11/12, which is 60*11/12 = 55 minutes.

Hope it's clear.
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