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# Mike and Fritz ran a 30-mile Marathon. Mike ran 10 miles at 10 miles

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Math Expert
Joined: 02 Sep 2009
Posts: 58396
Mike and Fritz ran a 30-mile Marathon. Mike ran 10 miles at 10 miles  [#permalink]

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14 Apr 2019, 21:43
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Difficulty:

5% (low)

Question Stats:

93% (01:28) correct 7% (01:21) wrong based on 41 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

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Joined: 17 May 2018
Posts: 140
Location: India
Re: Mike and Fritz ran a 30-mile Marathon. Mike ran 10 miles at 10 miles  [#permalink]

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14 Apr 2019, 21:48
Just need the time for Mike
10/10= 1hr
20/5= 4hrs
Total= 1+4=5hrs
IMO E

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Director
Joined: 27 May 2012
Posts: 903
Re: Mike and Fritz ran a 30-mile Marathon. Mike ran 10 miles at 10 miles  [#permalink]

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27 Apr 2019, 04:27
Bunuel wrote:
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. 13. How much time in hours did Mike take to complete the Marathon?

(A) 3
(B) 3.5
(C) 4
(D) 4.5
(E) 5

The info regarding Fritz is redundant, we don't need that for the solution.
There is a typo it seems in the last line " 13 "
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Re: Mike and Fritz ran a 30-mile Marathon. Mike ran 10 miles at 10 miles   [#permalink] 27 Apr 2019, 04:27
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