Can Finish Piece Of Work In 15 Days And B Can Do It In 10 Days

A can finish a piece of work in 15 days and B can do it in 10 days. They worked together for … . In how many days will A finish the…

Answers:

A can finish a piece of work in = 15 days

B can finish a piece of work in = 10 days

∴ A’s 1 day work = 1/15

B’s 1 day work = 1/10

(A + B)’s 1 day work = 1/15 + 1/10

= (2 + 3)/30 = 5/30 = 1/6

(A + B)’s 2 day work = (1/6) × 2 = 1/3

Remaining work which will be done by A alone

= 1 – (1/3) = (3 – 1)/3 = 2/3

∴ A can finish 1 work in = 15 days

A can finish 2/3 work in = 15 × (2/3) days

= 30/3 days = 10 days