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Mike and Fritz ran a 30-mile Marathon. Mike ran 10 miles at
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11 Apr 2019, 16:19
11 Apr 2019, 16:19
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Question Stats:
41% (02:23) correct
58% (01:33) wrong based on 117 sessions
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Mike and Fritz ran a 30-mile Marathon. Mike ran 10 miles at 10 mph and the remaining 20 miles at 5 mph.
Fritz ran one-third (by time) of the Marathon at 10 mph and the remaining two-thirds at 5 mph.
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Fritz ran one-third (by time) of the Marathon at 10 mph and the remaining two-thirds at 5 mph.
Quantity A |
Quantity B |
Average speed of Mike |
Average speed of Fritz |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Re: Mike and Fritz ran a 30-mile Marathon. Mike ran 10 miles at
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13 Apr 2019, 03:24
13 Apr 2019, 03:24
5
Expert Reply
"Mike ran 10 miles at 10 mph." This took him exactly 1 hour.
"...and the remaining 20 miles at 5 mph." This took him 4 hours.
So Mike ran \(\frac{1}{5}\) of the race (by time) at 10mph, and \(\frac{4}{5}\) at 5mph.
Fritz ran \(\frac{1}{3}\) (by time) at 10mph and \(\frac{2}{3}\) at 5mph.
\(\frac{1}{3} > \frac{1}{5}\), so Fritz ran a greater portion of the race at the faster speed than Mike did. Fritz's overall average speed, then, was greater than Mike's.
"...and the remaining 20 miles at 5 mph." This took him 4 hours.
So Mike ran \(\frac{1}{5}\) of the race (by time) at 10mph, and \(\frac{4}{5}\) at 5mph.
Fritz ran \(\frac{1}{3}\) (by time) at 10mph and \(\frac{2}{3}\) at 5mph.
\(\frac{1}{3} > \frac{1}{5}\), so Fritz ran a greater portion of the race at the faster speed than Mike did. Fritz's overall average speed, then, was greater than Mike's.
General Discussion
Re: Mike and Fritz ran a 30-mile Marathon. Mike ran 10 miles at
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10 Apr 2022, 05:44
10 Apr 2022, 05:44
Hello from the GRE Prep Club BumpBot!
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
