Question

P can finish a work in 24 days, q in 9 days and r in 12 days. Q and rstart the work but are forced to leave after 3 days. The remaining work was done by p in:

Answer 1

Let Total Work =LCM of 24,9,12 days will be 72

Work done by p in a day is 72/24 =3unit

Work done by q in a day is 72/9=8 unit

Work done by r in a day is 72/12 =6unit

A/q

Work done by q in 3 days =8x3 =24 unit & r is 6x3 =18 unit

72-(24+18)=30 unit

30 unit is left so time taken by p to complete the left work = 30/3 = 10 days.