By working together, A and B can finish a work in
15 days. If B alone can finish the work in 20 days,
in how many days can A alone finish the work?
Answers
Answered by
4
Answer:
60 Days
Step-by-step explanation:
(A + B)’s 1 day’s work = \frac{1}{15}
B’s 1 day’s work = \frac{1}{20}
∴ A’s 1 day’s work = \frac{1}{15}-\frac{1}{20} = \frac{4-3}{60}= \frac{1}{60}
∴ A alone will do the work in 60 days.
Answered by
0
A and B together can complete the work in 15 days so, (A+B)'s one day work = 1/15
If A alone can complete the work in 20 days then A's one day work = 1/20
Let B alone can complete the work in x days so B's one day work = 1/x
Now,
(A+B)'s one day work = A's one day work + B's one day work
1/15 = 1/20+1/x
1/x = 1/15-1/20
1/x = 1/60
x = 60
Hence B alone can complete the work in 60 days.
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