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If Susan takes \(9\) seconds to run \(y\) yards, how many minutes will it take her to run \(x\) yards at the same rate?

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If Susan takes \(9\) seconds to run \(y\) yards, how many minutes will it take her to run \(x\) yards at the same rate?

by Vincen » Tue Aug 18, 2020 7:58 am

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If Susan takes \(9\) seconds to run \(y\) yards, how many minutes will it take her to run \(x\) yards at the same rate?

A) \(\dfrac{xy}9\)

B) \(\dfrac{9x}{60y}\)

C) \(\dfrac{60xy}9\)

D) \(\dfrac{xy}{540}\)

E) \(\dfrac{540x}{y}\)

Answer: B

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Re: If Susan takes \(9\) seconds to run \(y\) yards, how many minutes will it take her to run \(x\) yards at the same ra

by Scott@TargetTestPrep » Sat Aug 22, 2020 8:55 am
Vincen wrote: ↑
Tue Aug 18, 2020 7:58 am
 If Susan takes \(9\) seconds to run \(y\) yards, how many minutes will it take her to run \(x\) yards at the same rate?

A) \(\dfrac{xy}9\)

B) \(\dfrac{9x}{60y}\)

C) \(\dfrac{60xy}9\)

D) \(\dfrac{xy}{540}\)

E) \(\dfrac{540x}{y}\)

Answer: B

Solution:

We are given that the rate of Susan is y/9 yards per second and we need to determine how many minutes it will take her to run x yards.

time = distance/rate

time = x/(y/9) = 9x/y seconds

Let’s convert 9x/y seconds to minutes:

9x/y seconds = (9x/y)/60 = 9x/(60y) minutes

Answer: B

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