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

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

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New post 04 Nov 2019, 04:16
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79% (02:34) correct 21% (01:50) wrong based on 66 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 Fritz take to complete the Marathon?

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


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Re: Mike and Fritz ran a 30-mile Marathon. Mike ran 10 miles at 10 miles  [#permalink]

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New post 04 Nov 2019, 04:45
got Mike total time = 10/10+20/5 ; 5 hrs
for Fritz total time =
30= t/3 *10+2t/3*5
solve for t= 90/20 ; 4.5 hrs
IMO D


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. How much time in hours did Fritz take to complete the Marathon?

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


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Re: Mike and Fritz ran a 30-mile Marathon. Mike ran 10 miles at 10 miles  [#permalink]

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New post 04 Nov 2019, 11:58
1
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
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Re: Mike and Fritz ran a 30-mile Marathon. Mike ran 10 miles at 10 miles  [#permalink]

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New post 04 Nov 2019, 12:48
1
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. How much time in hours did Fritz take to complete the Marathon?

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


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Mike ran 10 miles at 10 miles per hour and then ran at 5 miles per hour for the remaining 20 miles
why is this information provided in the question?
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Re: Mike and Fritz ran a 30-mile Marathon. Mike ran 10 miles at 10 miles  [#permalink]

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New post 06 Nov 2019, 00:39
Ballparking choices one by one

Let’s take 3 hours

Then 10 miles in 1 hr and 2 hr x5 = 10 so incorrect

Then take some thing which can be divided by 3

So 4.5

Bingo 1.5 hour x 10 miles/hr = 15 miles
And remaining 3 hour x 5 = 15

D is correct

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Re: Mike and Fritz ran a 30-mile Marathon. Mike ran 10 miles at 10 miles   [#permalink] 06 Nov 2019, 00:39
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Mike and Fritz ran a 30-mile Marathon. Mike ran 10 miles at 10 miles

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