A Alone Can Do A Piece Of Work In 6 Days And B Alone In 8 Days. A And

1.	A Alone Can Do A Piece Of Work In 6 Days And B Alone In 8 Days. A And B Undertook To Do It For Rs. 3200. With The Help Of C, They Completed The Work In 3 Days. How Much Is To Be Paid To C?
Answer» A COMPLETES the work in 6 days. So, Work done by A in 1 day = 1/6. => A's 3-day work = 3/6 = 1/2. B completes the work in 8 days So, Work done by B in 1 day = 1/8 => B's 3-day work = 3/8 The REMAINING work is done by C. So the part of work done by C = 1 - (1/2+ 3/8) = 1/8. So, C's share is 18 of 3200 = 3200 * 1/8 = 400. A completes the work in 6 days. So, Work done by A in 1 day = 1/6. => A's 3-day work = 3/6 = 1/2. B completes the work in 8 days So, Work done by B in 1 day = 1/8 => B's 3-day work = 3/8 The remaining work is done by C. So the part of work done by C = 1 - (1/2+ 3/8) = 1/8. So, C's share is 18 of 3200 = 3200 * 1/8 = 400.

A Alone Can Do A Piece Of Work In 6 Days And B Alone In 8 Days. A And B Undertook To Do It For Rs. 3200. With The Help Of C, They Completed The Work In 3 Days. How Much Is To Be Paid To C?

Answer»

A COMPLETES the work in 6 days.

So, Work done by A in 1 day = 1/6.

=> A's 3-day work = 3/6 = 1/2.

B completes the work in 8 days

So, Work done by B in 1 day = 1/8

=> B's 3-day work = 3/8

The REMAINING work is done by C.

So the part of work done by C = 1 - (1/2+ 3/8) = 1/8.

So, C's share is 18 of 3200 = 3200 * 1/8 = 400.

A completes the work in 6 days.