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In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity A: A can do a piece of work in 10 days and B can do the same work in 15 days. They start working together and after 4 days, A left the work. Find in how many days the total work will be completed. Quantity B: P can do a piece of work in 15 days and Q can do the same work in 25 days. They start working together and after 5 days, Q left the work. Find in how many days the remaining work will gets completed.

In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity A: A can do a piece of work in 10 days and B can do the same work in 15 days. They start working together and after 4 days, A left the work. Find in how many days the total work will be completed. Quantity B: P can do a piece of work in 15 days and Q can do the same work in 25 days. They start working together and after 5 days, Q left the work. Find in how many days the remaining work will gets completed. Correct Answer Quantity A > Quantity B

Quantity A:

One day work of A = 1/10

One day work of B = 1/15

One day work of A and B together = 1/10 + 1/15 = 1/6

⇒ 4 day work of A and B together = 4/6 = 2/3

Remaining work after 4 days = 1 - 2/3 = 1/3

Remaining work will be completed by B in (1/3)/(1/15) = 5 days

∴ The total work will be completed in 4 + 5 = 9 days

Quantity B:

One day work of P = 1/15

One day work of Q = 1/25

One day work of P and Q together = 1/15 + 1/25 = 8/75

⇒ 5 day work of P and Q together = 5 × 8/75 = 8/15

Remaining work = 1 - 8/15 = 7/15

∴ Remaining work will be done by P in (7/15)/(1/15) = 7 days.

∴ Quantity A > Quantity B

 

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