A car traveled from Los Angeles to San Francisco in 6

[BTGModeratorVI]

A car traveled from Los Angeles to San Francisco in 6 hours at an average rate of x miles per hour. If the car returned along the same route at an average rate of y miles per hour, how long did it take for the car to make the entire round trip, in minutes?

A. (6 + 6x/y)(60)
B. (6 + 6y/x)(60)
C. 30(x + y)
D. 10(x + y)
E. (x + y)/360

Answer: A
Source: Manhattan Prep

[Brent@GMATPrepNow]

A car traveled from Los Angeles to San Francisco in 6 hours at an average rate of x miles per hour. If the car returned along the same route at an average rate of y miles per hour, how long did it take for the car to make the entire round trip, in minutes?

A. (6 + 6x/y)(60)
B. (6 + 6y/x)(60)
C. 30(x + y)
D. 10(x + y)
E. (x + y)/360

Answer: A
Source: Manhattan Prep

A car traveled from Los Angeles to San Francisco in 6 hours at an average rate of x miles per hour.
Distance = (time)(rate)
So, distance from Los Angeles to San Francisco = (6)(x) = 6x miles

The car returned along the same route at an average rate of y miles per hour
We know the distance = 6x miles
Time = (distance)/(rate)
So, time spent driving from San Francisco to Los Angeles = 6x/y hours

TOTAL TIME = (time driving Los Angeles to San Francisco) + (time driving San Francisco to Los Angeles)
= 6 hours + 6x/y hours
= (6 + 6x/y) HOURS

How long did it take for the car to make the entire round trip, in MINUTES?
To convert HOURS to MINUTE, we multiply the number of hours by 60
So, time (in minutes) = (6 + 6x/y)(60)

Answer: A

[Scott@TargetTestPrep]

A car traveled from Los Angeles to San Francisco in 6 hours at an average rate of x miles per hour. If the car returned along the same route at an average rate of y miles per hour, how long did it take for the car to make the entire round trip, in minutes?

A. (6 + 6x/y)(60)
B. (6 + 6y/x)(60)
C. 30(x + y)
D. 10(x + y)
E. (x + y)/360

Answer: A
Source: Manhattan Prep

Since distance = rate x time and we are given that the car traveled from Los Angeles (LA) to San Francisco (SF) in 6 hours at an average rate of x miles per hour, we can express the distance from LA to SF as 6x. We are also given that the car returned along the same route (i.e., traveling the same distance) from SF to LA at an average rate of y miles per hour. If we let t = the time returning from SF to LA, in hours, we have:

6x = yt

t = 6x/y hours = time from SF to LA

Thus, the round trip time = time from LA to SF + time from SF to LA = 6 + 6x/y hours

Finally, we convert our time from number of hours to number of minutes by multiplying the number of hours by 60, since 1 hour = 60 minutes:

(6 + 6x/y) hours = 60(6 + 6x/y) minutes

Answer: A