Sarah and Rehema working together can complete a piece of work in 6 days while Sarah working alone can complete work in 10 days . The two worked together for 3 days and Sarah withdrew . Find time taken by Rehema to complete the remaining work.

Answer 1

Let's calculate the rate at which Sarah can complete work alone.

Since Sarah can complete the work alone in 10 days, then her work rate is 1/10.

Let's calculate the rate at which Sarah and Rehema can complete work together.

Sarah and Rehema can complete work together in 6 days, so their joint work rate is 1/6.

If they worked together for 3 days, then they completed 3 * (1/6) = 1/2 of the work.

Since Sarah can complete 1/10 of the work alone in a day, then in 3 days she can complete 3 * (1/10) = 3/10 of the work.

Therefore, Rehema was left to complete 1/2 - 3/10 = 5/10 - 3/10 = 2/10 = 1/5 of the work.

Since Rehema is completing 1/5 of the work, it will take her 5 * 6 = <<5*6=30>>30 days to complete the remaining work.

Therefore, Rehema will need 30 days to complete the remaining work.