Carcass wrote:
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
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITIONGRE - Math Book 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 hourWe know the distance = 6x miles
Time = (distance)/(rate)
So, time spent driving from San Francisco to Los Angeles =
6x/y hoursTOTAL 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
Cheers,
Brent