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Skywalker18
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A marathon runner runs m miles in h hours. At this rate, how many mile Updated on: 10 Oct 2017, 21:33
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.
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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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A
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Paulli1982
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A marathon runner runs m miles in h hours. At this rate, how many mile 10 Oct 2017, 20:40
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R x T = D

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

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

Answer is A
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A marathon runner runs m miles in h hours. At this rate, how many mile 10 Oct 2017, 21:36
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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

So A answer
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A marathon runner runs m miles in h hours. At this rate, how many mile 11 Oct 2017, 10:57
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Skywalker18
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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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

Answer A

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 19 Nov 2018, 12:22
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Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

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