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# A certain train is traveling at a constant rate. If the train travels

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Math Expert
Joined: 02 Sep 2009
Posts: 51072
A certain train is traveling at a constant rate. If the train travels  [#permalink]

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26 Jun 2018, 20:11
00:00

Difficulty:

25% (medium)

Question Stats:

72% (00:53) correct 28% (00:49) wrong based on 62 sessions

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A certain train is traveling at a constant rate. If the train travels s miles in t hours, in how many hours will the train travel y miles?

A. $$\frac{sy}{t}$$

B. $$\frac{st}{y}$$

C. $$\frac{ty}{s}$$

D. $$\frac{s}{ty}$$

E. $$\frac{s+y}{t}$$

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Joined: 07 Dec 2017
Posts: 841
Re: A certain train is traveling at a constant rate. If the train travels  [#permalink]

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26 Jun 2018, 21:36
Bunuel wrote:
A certain train is traveling at a constant rate. If the train travels s miles in t hours, in how many hours will the train travel y miles?

A. $$\frac{sy}{t}$$

B. $$\frac{st}{y}$$

C. $$\frac{ty}{s}$$

D. $$\frac{s}{ty}$$

E. $$\frac{s+y}{t}$$

As the calculation we're asked to do is relatively straightforward, we'll just do it.
This is a Precise approach.

We're told that the train traveled s miles in t hours, that is it traveled s/t miles per hour.
Since distance = time * speed, then y = time * s/t and our answer is yt/s

T
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e-GMAT Representative
Joined: 04 Jan 2015
Posts: 2269
Re: A certain train is traveling at a constant rate. If the train travels  [#permalink]

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26 Jun 2018, 21:37
1

Solution

Given:
• A certain train is traveling at a constant rate
• The train travels s miles in t hours
o Hence, speed of the train = $$\frac{s}{t}$$ miles per hour

To find:
• The time the train will take to travel y miles

Approach and Working:
As the speed of the train is $$\frac{s}{t}$$ mph,
• The time the train will take to travel y miles = y/(s/t) hours = $$\frac{ty}{s}$$ hours

Hence, the correct answer is option C.

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Posts: 42
A certain train is traveling at a constant rate. If the train travels  [#permalink]

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26 Jun 2018, 21:57
No need of speed formula here

s miles -> t hours
y miles -> ? hours

Cross multiply: s * ? = yt
? = yt / s

A certain train is traveling at a constant rate. If the train travels &nbs [#permalink] 26 Jun 2018, 21:57
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