A computer can perform $c$ calculations in $s$ seconds. How many minutes will it take the computer to perform $k$

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Vincen: Legendary Member; Posts: 2898; Joined: Thu Sep 07, 2017 2:49 pmFollowed by: 5 members; Thanked: 6 times

by Vincen » Fri Jun 19, 2020 3:04 am

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A computer can perform $c$ calculations in $s$ seconds. How many minutes will it take the computer to perform $k$ calculations?

A. $\dfrac{60ks}{c}$
B. $\dfrac{ks}{c}$
C. $\dfrac{ks}{60c}$
D. $\dfrac{60c}{ks}$
E. $\dfrac{k}{60cs}$

[spoiler]OA=C[/spoiler]

Source: Magoosh

Source: Beat The GMAT — Problem Solving | Fri Jun 19, 2020 3:04 am

swerve: Legendary Member; Posts: 2604; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

Re: A computer can perform $c$ calculations in $s$ seconds. How many minutes will it take the computer to perform \(

by swerve » Fri Jun 19, 2020 10:10 am

Vincen wrote: ↑
Fri Jun 19, 2020 3:04 am
A computer can perform $c$ calculations in $s$ seconds. How many minutes will it take the computer to perform $k$ calculations?

A. $\dfrac{60ks}{c}$
B. $\dfrac{ks}{c}$
C. $\dfrac{ks}{60c}$
D. $\dfrac{60c}{ks}$
E. $\dfrac{k}{60cs}$

[spoiler]OA=C[/spoiler]

Source: Magoosh

Let's try as follows:

$w = r\cdot t$
$c = r\cdot s$
$r = \dfrac{c}{s}$

$k = r\cdot t$
$k = \dfrac{c}{s}\cdot 60t$
$t = \dfrac{ks}{60c}$

Therefore, C

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