BTGModeratorVI wrote: ↑Wed Feb 26, 2020 4:19 pm
It takes Carlos 9 minutes to drive from home to work at an average rate of 22 miles per hour. How many minutes will it take Carlos to cycle from home to work along the same route at an average rate of 6 miles per hour?
(A) 26
(B) 33
(C) 36
(D) 44
(E) 48
Answer:
B
Source: GMATPrep test
Solution:
Converting 9 minutes to 9/60 of an hour, we see that the distance to work is 9/60 x 22 = 3/20 x 22 = 3/10 x 11 = 33/10 miles.
Thus, it will take Carlos (33/10)/6 = 33/60 hours, or 33 minutes, to cycle to work.
Alternate Solution:
Notice that the cycling speed of Carlos is 6/22 of his driving speed; thus his cycling time will be 22/6 of his driving time. If you have a hard time seeing this, you can think of a situation where one body travels 3 times as fast as another body. If they traveled the same distance, the time of the faster body will be 1/3 of the time of the slower body.
In the light of above, we see that Carlos’s cycling time will be 9 * 22/6 = 33 minutes.
Answer: B
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