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A Can Do A Piece Of Work In 80 Days. He Works At It For 10 Days And Then B Alone Finishes The Work In 42 Days. The Two Together Could Complete The Work In?

Answer»

A’s 10 DAYS WORK = (10 x 1/80) = 1/8 

Remaining work = (1 -1/8) = 7/8 

Therefore 7/8 work is done by A in 42 days. 

Whole work will be done by A in (42 x 8/7)i.e.., 48 days 

Therefore, (A+ B)’s 1 DAY work = (1/80 + 1/48) = 8/240 = 1/30. 

A and B together can finish it in 30days.

A’s 10 days work = (10 x 1/80) = 1/8 

Remaining work = (1 -1/8) = 7/8 

Therefore 7/8 work is done by A in 42 days. 

Whole work will be done by A in (42 x 8/7)i.e.., 48 days 

Therefore, (A+ B)’s 1 day work = (1/80 + 1/48) = 8/240 = 1/30. 

A and B together can finish it in 30days.



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