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# Time and Work-Hard test 3

1)

'A' alone can do a certain job in 15 days while B alone can do it in 10 days. 'A' started the work and was joined by B after 5 days. For how long did this work last?

2)

'A' can do piece of work in 60 days while 'B' alone can do it in 90 days. They begin together but 15 days before the completion of the work, 'B' leaves off. Find the total number of days for the work to be completed.

3)

'P' and 'Q' can finish a work in 30 days. They worked at it for 10 days and then 'Q' left. The remaining work is done by 'P' alone in 20 more days. How long will 'P' take to finish the work alone?

4)

A and B can do a piece of work in 60 days and 75 days, respectively. Both begin together but after a certain time 'A' leaves off. In such case 'B' finishes the remaining work in 30 days. After how many days did 'A' leave?

5)

When 'A' alone does a piece of work, he takes 25 days more than the time taken by (A+B) to complete that particular work while 'B' alone takes 49 days more than the time taken by (A+B) to finish the same work. A and B together will take what time to finish this work?