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Mike and Fritz ran a 30-mile Marathon. Mike ran 10 miles at
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30 Apr 2019, 01:08
30 Apr 2019, 01:08
Expert Reply
1
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00:00
Question Stats:
86% (01:36) correct
13% (01:57) wrong based on 36 sessions
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Mike and Fritz ran a 30-mile Marathon. Mike ran 10 miles at 10 miles per hour and then ran at 5 miles per hour for the remaining 20 miles. Fritz ran the first one-third (by time) of the run at 10 miles per hour and the remaining two-thirds of the run at 5 miles per hour.
How much time in hours did Mike take to complete the Marathon?
(A) 3
(B) 3.5
(C) 4
(D) 4.5
(E) 5
How much time in hours did Mike take to complete the Marathon?
(A) 3
(B) 3.5
(C) 4
(D) 4.5
(E) 5
Re: Mike and Fritz ran a 30-mile Marathon. Mike ran 10 miles at
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30 Apr 2020, 13:05
30 Apr 2020, 13:05
Expert Reply
1
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distance =velocity*time
1/3*t*10+2/3*t*5=30
10t/3+10t/3=30
20t=3*30
t=4.5
ans :D
1/3*t*10+2/3*t*5=30
10t/3+10t/3=30
20t=3*30
t=4.5
ans :D
Re: Mike and Fritz ran a 30-mile Marathon. Mike ran 10 miles at
[#permalink]
30 Apr 2020, 22:20
30 Apr 2020, 22:20
2
Carcass wrote:
distance =velocity*time
1/3*t*10+2/3*t*5=30
10t/3+10t/3=30
20t=3*30
t=4.5
ans :D
1/3*t*10+2/3*t*5=30
10t/3+10t/3=30
20t=3*30
t=4.5
ans :D
The question is asking about Mike and not about Fritz.
1 hour to complete 10 miles and 20/5 = 4 hours to complete next 20 miles.
Thus, total time = 1+4 = 5 hours.
Which is option E.
