A and B together can do a piece of work in 15 days, while B alone can finish it 20 days. In how many days can A alone finish the work? plzzz. explain with working.
Answers
Answered by
6
A and B together can do a piece of work in 15 days, while B alone can finish it 20 days. In how many days can A alone finish the work?
Solution:
Time taken by (A + B) to finish the work = 15 days.
(A + B)’s 1 day’s work = 1/15 part
Time taken by B alone to finish the work 20 days.
∴B’s 1 day’s work = 1/20 part
A’s 1 day’s work = {(A + B)’s 1 day’s work} - {B’s 1 day’s work}
= (1/15 - 1/20)
= (4 - 3)/60 [ Lcm of 15 and 20 =60]
= 1/60 part
A alone finish the work in 1/[1/60 part]
=60 days Ans
Similar questions