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11 Nov 2021, 05:30
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Difficulty:
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Question Stats:
85% (01:49) correct
15%
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wrong
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There are 5 machines with the same work rate. If 4 of these machines were working and then the fifth is added to shorten the completion time of the work by k percent, then what is the value of k?
(A) 10
(B) 12
(C) 15
(D) 16
(E) 20
(A) 10
(B) 12
(C) 15
(D) 16
(E) 20
12 Nov 2021, 21:17
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Rate of Each machine is R.
Work done by 4 Machines is W.
Time taken to complete the work is T
Hence 4RT = W
Now, 5th machine added. and time reduced by k%
Hence 5RT (1-K/100) = W
K =20
Work done by 4 Machines is W.
Time taken to complete the work is T
Hence 4RT = W
Now, 5th machine added. and time reduced by k%
Hence 5RT (1-K/100) = W
K =20
12 Nov 2021, 22:20
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Bunuel
Poorly worded. The question seems to suggest that 5th is added while 4 of them were already working, but then does not give after how much time is 5th added.
So, we are looking at all 5 working from beginning and how much time is saved as compared to only 4 machines working.
I. Straight forward
The time spent would be in the opposite ratio of number of machines.
So 5:4 machines = 4:5 time.
Saving in time as a % = \(\frac{5-4}{5}*100=20\)
E
