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# If working at a constant rate Ahmed takes 1/8 of an hour to complete 6

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Math Expert
Joined: 02 Sep 2009
Posts: 54543
If working at a constant rate Ahmed takes 1/8 of an hour to complete 6  [#permalink]

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21 Mar 2017, 05:34
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Difficulty:

5% (low)

Question Stats:

89% (01:15) correct 11% (01:18) wrong based on 118 sessions

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If working at a constant rate Ahmed takes 1/8 of an hour to complete 6 pages of homework for a statistics company, how long will it take him to do 4 pages of statistics homework?

A. 3 minutes
B. 5 minutes
C. 7.5 minutes
D. 12.5 minutes
E. 15 minutes

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Re: If working at a constant rate Ahmed takes 1/8 of an hour to complete 6  [#permalink]

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21 Mar 2017, 08:42
1
Bunuel wrote:
If working at a constant rate Ahmed takes 1/8 of an hour to complete 6 pages of homework for a statistics company, how long will it take him to do 4 pages of statistics homework?

A. 3 minutes
B. 5 minutes
C. 7.5 minutes
D. 12.5 minutes
E. 15 minutes

Time taken to complete 48 pages is 1 hour.
So, Time taken to complete 4 pages is $$\frac{4}{48}$$ hour = $$\frac{1}{12}$$ hour

Thus, the time taken is $$\frac{1}{12}$$*60 = 5 minutes...

Hence, the correct answer must be (B) 5 minutes !!
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Joined: 06 Dec 2016
Posts: 245
Re: If working at a constant rate Ahmed takes 1/8 of an hour to complete 6  [#permalink]

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21 Mar 2017, 10:47
1/8 x 60 = 7.5 minutes
7.5 minutes to read 6 pages

7.5/x = 6/4
7.5(4) = 6x
30 = 6x
x = 5 minutes

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Re: If working at a constant rate Ahmed takes 1/8 of an hour to complete 6  [#permalink]

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21 Mar 2017, 19:32
Bunuel wrote:
If working at a constant rate Ahmed takes 1/8 of an hour to complete 6 pages of homework for a statistics company, how long will it take him to do 4 pages of statistics homework?

A. 3 minutes
B. 5 minutes
C. 7.5 minutes
D. 12.5 minutes
E. 15 minutes

Rate = work/time

first findout the rate of ahmed. i.e., 6/15/2 = 12/15 = 4/5

now 4/5 = 4/T -- > T = 5 minutes Ans : B
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Re: If working at a constant rate Ahmed takes 1/8 of an hour to complete 6  [#permalink]

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23 Mar 2017, 17:01
1
Bunuel wrote:
If working at a constant rate Ahmed takes 1/8 of an hour to complete 6 pages of homework for a statistics company, how long will it take him to do 4 pages of statistics homework?

A. 3 minutes
B. 5 minutes
C. 7.5 minutes
D. 12.5 minutes
E. 15 minutes

We are given that Ahmed takes 1/8 of an hour to complete 6 pages of homework. Thus, his rate is 6/(1/8) = 48 pages per hour.

It will take him 4/48 = 1/12 of an hour or (1/12) x 60 = 5 minutes to complete 4 pages of homework.

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Re: If working at a constant rate Ahmed takes 1/8 of an hour to complete 6  [#permalink]

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06 Sep 2017, 21:25
Bunuel wrote:
If working at a constant rate Ahmed takes 1/8 of an hour to complete 6 pages of homework for a statistics company, how long will it take him to do 4 pages of statistics homework?

A. 3 minutes
B. 5 minutes
C. 7.5 minutes
D. 12.5 minutes
E. 15 minutes

6 pages =1/8
1 page = 1/(8*6);
4 pages = 4* 1/48 = 1/12 th of an hr= 60/12 = 5 mins.

Ans:B
Re: If working at a constant rate Ahmed takes 1/8 of an hour to complete 6   [#permalink] 06 Sep 2017, 21:25
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