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# A computer can perform c calculations in s seconds. How many minutes w

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Math Expert
Joined: 02 Sep 2009
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A computer can perform c calculations in s seconds. How many minutes w  [#permalink]

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20 Mar 2015, 07:21
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35% (medium)

Question Stats:

65% (01:24) correct 35% (01:34) wrong based on 308 sessions

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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. 60ks/c
B. ks/c
C. ks/(60c)
D. 60c/(ks)
E. k/(60cs)

Kudos for a correct solution.

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Re: A computer can perform c calculations in s seconds. How many minutes w  [#permalink]

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Updated on: 20 Mar 2015, 13:06
1
I had to modify it xD

if the rate is $$\frac{c}{s seconds}$$, then

$$\frac{c}{s}\cdot\frac{1}{second}=\frac{60c}{s}\cdot\frac{1}{60 seconds}=\frac{60c}{s}\cdot\frac{1}{minutes}=\frac{k}{t}$$

Then $$t=\frac{ks}{60c} \cdot minutes$$

Originally posted by ngie on 20 Mar 2015, 11:47.
Last edited by ngie on 20 Mar 2015, 13:06, edited 1 time in total.
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Re: A computer can perform c calculations in s seconds. How many minutes w  [#permalink]

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20 Mar 2015, 12:19

c-->s/60
for k =ks/60c

-h
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Re: A computer can perform c calculations in s seconds. How many minutes w  [#permalink]

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20 Mar 2015, 20:39
Bunuel wrote:
A computer can perform c calculations in s seconds. How many minutes will it take the computer to perform k calculations?

A. 60ks/c
B. ks/c
C. ks/60c
D. 60c/ks
E. k/60cs

Kudos for a correct solution.

(s sec/c calculations)(1 min/60 sec)(k calculations) = (ks)/(60c) min

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Re: A computer can perform c calculations in s seconds. How many minutes w  [#permalink]

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23 Mar 2015, 00:20
1
Information in the question is given in seconds, answer asked in minutes.

First, convert the given information in minutes

c calculations are performed in $$\frac{s}{60}$$ minutes

Time required for k calculations $$= \frac{s}{60} * \frac{k}{c} = \frac{sk}{60c}$$

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Re: A computer can perform c calculations in s seconds. How many minutes w  [#permalink]

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23 Mar 2015, 05:45
Bunuel wrote:
A computer can perform c calculations in s seconds. How many minutes will it take the computer to perform k calculations?

A. 60ks/c
B. ks/c
C. ks/60c
D. 60c/ks
E. k/60cs

Kudos for a correct solution.

MAGOOSH OFFICIAL SOLUTION:
Attachment:

computercalc_explanation.png [ 61.76 KiB | Viewed 6583 times ]

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Re: A computer can perform c calculations in s seconds. How many minutes w  [#permalink]

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25 Mar 2015, 21:45
Hi All,

As 'thick' as this question might look, it's actually a fairly straight-forward Rate question and can be solved by TESTing VALUES.

We're told that a computer can perform C calculations in S seconds.

Let's TEST....
C = 2
S = 3
2 calculations every 3 seconds =
40 calculations every 1 minute

We're asked how many MINUTES it will take to perform K calculations.

Since we already know that the computer can perform 40 calculations in 1 minute, let's TEST...

K = 80

So we're looking for an answer that = 2 when C = 2, S = 3 and K = 80

Answer A: 60KS/C = 60(80)(3)/2 = 7200 This is NOT a match
Answer B: KS/C = (80)(3)/2 = 120 This is NOT a match
Answer C: KS/60C = (80)(3)/(60)(2) = 2 This IS a match
Answer D: 60C/KS = 60(2)/(80)(3) = 1/2 This is NOT a match
Answer E: K/60CS = 80/(60)(2)(3) = a fraction. This is NOT a match

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Re: A computer can perform c calculations in s seconds. How many minutes w  [#permalink]

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30 May 2016, 22:47
Work=Rate*time, c=Rate*s
Rate=c/s calc/sec or 60c/s calculations/minute
Now,after calculating the rate,
Work=Rate*Time,this time k=60c/s*time
Or time=ks/60c
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Re: A computer can perform c calculations in s seconds. How many minutes w  [#permalink]

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31 May 2016, 00:04
Bunuel wrote:
A computer can perform c calculations in s seconds. How many minutes will it take the computer to perform k calculations?

A. 60ks/c
B. ks/c
C. ks/60c
D. 60c/ks
E. k/60cs

Kudos for a correct solution.

Unitary method is the key.

c Calculations done in s seconds
1 calculation is done in (s/c) seconds
k calculations r done in (ks/c) seconds

Answer in minutes: (ks/60 c) minutes.

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Re: A computer can perform c calculations in s seconds. How many minutes w  [#permalink]

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31 May 2016, 23:50
Bunuel wrote:
A computer can perform c calculations in s seconds. How many minutes will it take the computer to perform k calculations?

A. 60ks/c
B. ks/c
C. ks/60c
D. 60c/ks
E. k/60cs

Kudos for a correct solution.

In such questions, I usually like to plug in very simple values.
Say 1 ( = c) calculation in 10 (=s) secs. Then 2 (= k) calculations in 20 secs (= 1/3 mins).

Look for the option which gives 1/3 for c = 1, s = 10 and k = 2. From the numbers, it is obvious that we only need to check for (C) and (E) since 60 should be in the denominator to give us 3 in the denominator in the result (there is no other multiple of 3).

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Re: A computer can perform c calculations in s seconds. How many minutes w  [#permalink]

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26 Dec 2017, 12:47
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