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It takes Mike 1 hour and 30 minutes to commute from home to work at an average speed of 40 miles per hour. If Mike retur

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It takes Mike 1 hour and 30 minutes to commute from home to work at an average speed of 40 miles per hour. If Mike retur

by VJesus12 » Fri Jul 24, 2020 6:45 am

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It takes Mike 1 hour and 30 minutes to commute from home to work at an average speed of 40 miles per hour. If Mike returns home along the same route at an average speed of 45 miles per hour, how long does the return trip take?

A. 1 hour, 15 minutes

B. 1 hour, 20 minutes

C. 1 hour, 25 minutes

D. 1 hour, 30 minutes

E. 1 hour, 35 minutes

[spoiler]OA=B[/spoiler]

Source: Princeton Review
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Re: It takes Mike 1 hour and 30 minutes to commute from home to work at an average speed of 40 miles per hour. If Mike r

by deloitte247 » Sun Jul 26, 2020 9:45 am
$$Average=\frac{dis\tan ce}{time\ taken}$$
Distance between Mike's home and workplace=>
$$=40\ miles\ per\ hour\ \cdot\ 1\frac{1}{2}=40\cdot1.5=60\ miles$$
Mike returns home along the same route at an average speed of 45 miles per hour.
$$Time\ taken\ for\ return\ trip=\frac{dis\tan ce}{speed}=\frac{60miles}{45miles\ per\ hour}$$ $$=\frac{4}{3}hours$$
$$=1\frac{1}{3}hours$$
=> 1 hour 20 minutes

Answer = option B
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Re: It takes Mike 1 hour and 30 minutes to commute from home to work at an average speed of 40 miles per hour. If Mike r

by marceltr » Tue Aug 11, 2020 6:58 am
Looks like my math homework from https://assignmentyoda.com/math/do-my-g ... -homework/. Thanks!
Last edited by marceltr on Tue Aug 11, 2020 10:34 pm, edited 1 time in total.
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Re: It takes Mike 1 hour and 30 minutes to commute from home to work at an average speed of 40 miles per hour. If Mike r

by GMATGuruNY » Tue Aug 11, 2020 11:10 am
VJesus12 wrote: ↑
Fri Jul 24, 2020 6:45 am
 It takes Mike 1 hour and 30 minutes to commute from home to work at an average speed of 40 miles per hour. If Mike returns home along the same route at an average speed of 45 miles per hour, how long does the return trip take?

A. 1 hour, 15 minutes

B. 1 hour, 20 minutes

C. 1 hour, 25 minutes
D. 1 hour, 30 minutes

E. 1 hour, 35 minute
(higher speed)/(lower speed) = 45/40 = 9/8
Rate and time have a RECIPROCAL RELATIONSHIP.
Since the speed home is 9/8 of the speed to work, the time home will be 8/9 of the time to work:
(8/9)(90 minutes) = 80 minutes = 1 hour 20 minutes

The correct answer is B.
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Re: It takes Mike 1 hour and 30 minutes to commute from home to work at an average speed of 40 miles per hour. If Mike r

by Scott@TargetTestPrep » Sat Aug 15, 2020 4:03 am
VJesus12 wrote: ↑
Fri Jul 24, 2020 6:45 am
 It takes Mike 1 hour and 30 minutes to commute from home to work at an average speed of 40 miles per hour. If Mike returns home along the same route at an average speed of 45 miles per hour, how long does the return trip take?

A. 1 hour, 15 minutes

B. 1 hour, 20 minutes

C. 1 hour, 25 minutes

D. 1 hour, 30 minutes

E. 1 hour, 35 minutes

[spoiler]OA=B[/spoiler]
Source: Princeton Review
Solution:

The distance between Mike’s home and his workplace is 40 x 1.5 = 60 miles. Therefore, the return trip takes 60/45 = 4/3 hours = 1 ⅓ hours = 1 hour 20 minutes.

Answer: B

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Re: It takes Mike 1 hour and 30 minutes to commute from home to work at an average speed of 40 miles per hour. If Mike r

by taniyuki » Mon Oct 02, 2023 7:03 pm
deloitte247 wrote: ↑
Sun Jul 26, 2020 9:45 am
 $$Average=\frac{dis\tan ce}{time\ taken}$$
Distance between Mike's home and workplace=>
$$=40\ miles\ per\ hour\ \cdot\ 1\frac{1}{2}=40\cdot1.5=60\ miles$$
Mike returns home along the same route at an average speed of 45 miles per hour.
$$Time\ taken\ for\ return\ trip=\frac{dis\tan ce}{speed}=\frac{60miles}{45miles\ per\ hour}$$ $$=\frac{4}{3}hours$$
$$=1\frac{1}{3}hours$$
=> 1 hour 20 minutes

Answer = option B
Great, I agree with this solution
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