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# A marathon runner runs m miles in h hours. At this rate, how many mile

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Verbal Forum Moderator
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A marathon runner runs m miles in h hours. At this rate, how many mile [#permalink]

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Updated on: 10 Oct 2017, 21:33
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69% (00:51) correct 31% (00:26) wrong based on 59 sessions

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A marathon runner runs m miles in h hours. At this rate, how many miles will she run in 36 minutes ?

A. 3m/(5h)

B. 3m/h

C. 5m/(3h)

D. 36m/h

E. 36m/(5h)

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+1 Kudos if you find this post helpful

Originally posted by Skywalker18 on 10 Oct 2017, 19:41.
Last edited by Bunuel on 10 Oct 2017, 21:33, edited 1 time in total.
Renamed the topic and edited the question.
Intern
Joined: 29 May 2012
Posts: 39
Re: A marathon runner runs m miles in h hours. At this rate, how many mile [#permalink]

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10 Oct 2017, 20:40
1
R x T = D

R=m/h
T=36 mins = 3/5 hrs

Hence, D = m/h x 3/5 = 3m/5h

DS Forum Moderator
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Location: India
Re: A marathon runner runs m miles in h hours [#permalink]

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10 Oct 2017, 21:36
Lets use ratio. h hours means '60h' minutes.

In 60h minutes, she runs = m miles
In 36 minutes, she runs = x miles (say)

So 60h/36 = m/x OR x = 36m/60h = 3m/5h miles

SC Moderator
Joined: 22 May 2016
Posts: 1825
A marathon runner runs m miles in h hours. At this rate, how many mile [#permalink]

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11 Oct 2017, 10:57
Skywalker18 wrote:
A marathon runner runs m miles in h hours. At this rate, how many miles will she run in 36 minutes ?

A. 3m/(5h)

B. 3m/h

C. 5m/(3h)

D. 36m/h

E. 36m/(5h)

Choosing values here is quick.

Assign values to $$m$$ and $$h$$. Calculate how many miles she would run at that rate in 36 minutes. Then see which answer matches yours.

For RTD questions with time conversion, and answer choices that are fractions, make life easy: choose a round number for the distance. If time starts in hours, choose 1 hour. And make the numbers fairly far apart. This way often eliminates 2-3 answers immediately.

Let m = 10, and h = 1
(She runs 10 miles in 1 hour)

At that rate, how many miles does she run in 36 minutes?

$$\frac{10mi}{1hr} * \frac{1hr}{60mins} * 36 mins$$ = $$6$$ miles

So m = 10 and h = 1, and we need the answer that = 6

Eliminate Answers B and D immediately. With h = 1 as a denominator, they are huge numbers compared to 6

Eliminate Answer E also. Though 5h = 5 is better than 1, 36m = 360. Don't do the arithmetic; it should be evident that $$\frac{360}{5}$$ is greater than 6

Answers A and C remain. m = 10, h = 1. We want 6 as an answer

A. 3m/(5h)

$$\frac{(3*10)}{(5*1)} =\frac{30}{5} = 6$$ MATCH

C. 5m/(3h)

$$\frac{(5*10)}{(3*1)} =\frac{50}{3} \neq{6}$$ NO MATCH

Skywalker18 , kudos for a good question and a non-default pronoun for your runner.
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A marathon runner runs m miles in h hours. At this rate, how many mile   [#permalink] 11 Oct 2017, 10:57
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