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If it takes 50 workers 8 hours to build a log cabin, how long would it

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Bunuel
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If it takes 50 workers 8 hours to build a log cabin, how long would it [#permalink] New post   10 Jul 2019, 01:48
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E

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If it takes 50 workers 8 hours to build a log cabin, how long would it have taken 30 workers to build the same cabin?

(A) 9 hrs 36 min.

(B) 10 hrs 24 min.

(C) 12 hrs 24 min.

(D) 12 hrs 40 min.

(E) 13 hrs 20 min.
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E
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Re: If it takes 50 workers 8 hours to build a log cabin, how long would it [#permalink] New post   10 Jul 2019, 02:03
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50 worker 8 hours
total man hours require to complete the job = 400

30 worker then to complete the work 400/30

13.3 hrs
Option E

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Re: If it takes 50 workers 8 hours to build a log cabin, how long would it [#permalink] New post   10 Jul 2019, 02:23
IMO : E
If it takes 50 workers 8 hours to build a log cabin, how long would it have taken 30 workers to build the same cabin?

(A) 9 hrs 36 min.

(B) 10 hrs 24 min.

(C) 12 hrs 24 min.

(D) 12 hrs 40 min.

(E) 13 hrs 20 min.


Sol:
Total work hours=50*8=400,

So the number of hours needed =400/30=40/3=13.33=13 hours 20 min
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Re: If it takes 50 workers 8 hours to build a log cabin, how long would it [#permalink] New post   10 Jul 2019, 02:32
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Bunuel wrote:
If it takes 50 workers 8 hours to build a log cabin, how long would it have taken 30 workers to build the same cabin?

(A) 9 hrs 36 min.

(B) 10 hrs 24 min.

(C) 12 hrs 24 min.

(D) 12 hrs 40 min.

(E) 13 hrs 20 min.


50 Workers take 8 hours
=> 30 workers will take = \(\frac{50}{30}*8 = \frac{40}{3} = 13 \frac{1}{3}\) hours
13 hours 20 mins

IMO E
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Re: If it takes 50 workers 8 hours to build a log cabin, how long would it [#permalink] New post   10 Jul 2019, 04:13
Let the total number of work be 400 logs

50W----8H----400L
50W----1H----50L
1W-----1H-----1L
30W----\(x\)H----400L

x=400/30=13.33 hours

Answer is (E)
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Re: If it takes 50 workers 8 hours to build a log cabin, how long would it [#permalink] New post   28 Jul 2019, 10:28
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Bunuel wrote:
If it takes 50 workers 8 hours to build a log cabin, how long would it have taken 30 workers to build the same cabin?

(A) 9 hrs 36 min.

(B) 10 hrs 24 min.

(C) 12 hrs 24 min.

(D) 12 hrs 40 min.

(E) 13 hrs 20 min.


The rate for 50 workers is 1/8. The rate for 1 worker is (1/8)/50 = 1/400, and the rate for 30 workers is 30/400 = 3/40.

Thus it takes 30 workers 1/(3/40) = 40/3 = 13 ⅓ hours = 13 hours 20 minutes.

Alternate Solution:

The total number of hours needed to build the cabin is 50 x 8 = 400 hours. So if there are 30 workers, it will take 400/30 = 13.333 hours = 13 ⅓ hours = 13 hours, 20 minutes.

Answer: E
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Re: If it takes 50 workers 8 hours to build a log cabin, how long would it [#permalink] New post   04 Sep 2019, 13:24
Bunuel wrote:
If it takes 50 workers 8 hours to build a log cabin, how long would it have taken 30 workers to build the same cabin?

(A) 9 hrs 36 min.

(B) 10 hrs 24 min.

(C) 12 hrs 24 min.

(D) 12 hrs 40 min.

(E) 13 hrs 20 min.


50*8=400 man hours. We have 30 men. 400/30 is 13.33, which is 13hours 20minutes.
Hence E
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Re: If it takes 50 workers 8 hours to build a log cabin, how long would it [#permalink] New post   30 Oct 2023, 01:25
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