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- A and B can complete a given work by working together in 8 days.
Question 1:
A and B can complete a given work by working together in 8 days. B takes twice the number of days to complete the work compared to A.In how many days A can finish the work by working alone?
A. 16
B. 12
Feedback Let the time taken by A to finish the work = x days
Then, time taken by B to finish the work = 2x days
Given, Time taken by A and B together ie., (A + B) = 8 days.
=>1/(A + B) = (1/A) + (1/B)
=> 1/8 = (1/x) + (1/2x)
=> 1/8 = (2 + 1) / 2x
=> 1/8 = 3/2x
Taking reciprocal on both sides,
=> 8 = 2x / 3
=> 8 * 3 = 2x
=> 24/ 2 = x
=>x = 12
A alone complete the work in 12 days.
Then, time taken by B to finish the work = 2x days
Given, Time taken by A and B together ie., (A + B) = 8 days.
=>1/(A + B) = (1/A) + (1/B)
=> 1/8 = (1/x) + (1/2x)
=> 1/8 = (2 + 1) / 2x
=> 1/8 = 3/2x
Taking reciprocal on both sides,
=> 8 = 2x / 3
=> 8 * 3 = 2x
=> 24/ 2 = x
=>x = 12
A alone complete the work in 12 days.
C. 14
D. 18
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