Amit can do a piece of work in 45 days, but Bharath can do the same work in 5 days less, than Amit, when working alone. Amit and Bharath both started the work together but Bharath left after some days and Amit finished the remaining work in 56 days with half of his efficiency but he did the work with Bharath with his complete efficiency. For how many days they had worked together?
A) 6
B) 8
C) 9
D) 12
Answers
Amit & Bharat worked together for 8 Days
Step-by-step explanation:
Amit can do a piece of work in 45 days
=> Amit's 1 day work = 1/45
Bharath can do the same work in 5 days less
=> Bharath can do a piece of work in 45-5 = 40 days
=> Bharat's 1 day work = 1/40
Amit & Bharat work together in 1 day = 1/45 + 1/40
= (8 + 9)/360
= 17/360
Let say they worked together = d days
Work done = 17d /360
Remaining Work = 1 - 17d/360
= (360 - 17d)/360
Amit finished the remaining work in 56 days with half of his efficiency
=> Amit's 1 day work = (1/45)/2 = 1/90
Work done in 56 days = 56/90
(360 - 17d)/360 = 56/90
=> 360 - 17d = 224
=> 17d = 136
=> d = 8
They worked together for 8 Days
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