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21 Mar 2023, 16:31
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C
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Difficulty:
35%
(medium)
Question Stats:
75% (02:19) correct
26%
(02:40)
wrong
based on 200
sessions
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Machine A takes twice as much time as machine B to make N items. Working together at their respective rates, A and B can make 5 items in 3 days. How many days will A take to produce 5 items?
(A) 5
(B) 8
(C) 9
(D) 12
(E) 18
(A) 5
(B) 8
(C) 9
(D) 12
(E) 18
22 Mar 2023, 04:10
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A simple question, and can be solved quickly employing percentages! A and B together takes 3 days to complete 5 items and how long will A take to make the same no. of items?
The work done remains same and let's take the total work to be 100%. So the work done per day comes out to be 33.33%. Now A takes twice as much time as B, which can be interpreted as B is twice more efficient than A, and therefore the % of work done per day is twice of B as compared to A. Therefore, B must have done 22.22% per day while A doing only 11.11%. The time A will take to complete is 100/11.11, which comes out to be 9 days.
Hope this helps! A kudos will be appreciated!
The work done remains same and let's take the total work to be 100%. So the work done per day comes out to be 33.33%. Now A takes twice as much time as B, which can be interpreted as B is twice more efficient than A, and therefore the % of work done per day is twice of B as compared to A. Therefore, B must have done 22.22% per day while A doing only 11.11%. The time A will take to complete is 100/11.11, which comes out to be 9 days.
Hope this helps! A kudos will be appreciated!
22 Mar 2023, 06:10
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danilopcoeto
A takes twice the time hence his rate is half of B.
Rate of A : Rate of B = 1 : 2
If they are both working together, A will do \(\frac{1}{3}\)rd of the work while B will do \(\frac{2}{3}\)rd of the work.
They make 5 items in 3 days together i.e. they make 5/3rd of the items each day.
So A makes \((\frac{5}{3})*(\frac{1}{3})\) of the items each day = \(\frac{5}{9}\) of an item each day.
So to make 5 items, A needs 9 days.
Answer (C)
