It takes Carlos 9 minutes to drive from home to work at an average

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

Since the speed is reduced by a factor of 22/6, the time would increase to 9*(22/6) = 33 minutes

The correct answer: B

Hope this helps!

-Jay
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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

t takes Carlos 9 minutes to drive from home to work at an average rate of 22 miles per hour.
We can use this information to determine the distance to work
First we'll have to convert 9 minutes to 9/60 hours (simplify to get: 3/20 hours)

distance = (rate)(time)
So, distance = (22)(3/20 hours) = 66/20 = 33/10 miles

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?
time = distance/rate
So, time = (33/10)/6 = (33/10)(1/6) = 33/60 HOURS = 33 MINUTES

Answer: B

Cheers,
Brent

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