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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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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deloitte247
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$$Average=\frac{dis\tan ce}{time\ taken}$$
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
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
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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(higher speed)/(lower speed) = 45/40 = 9/8VJesus12 wrote: ↑Fri Jul 24, 2020 6:45 amIt 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
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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Solution:VJesus12 wrote: ↑Fri Jul 24, 2020 6:45 amIt 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
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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Great, I agree with this solutiondeloitte247 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
