Go back

Fareena Dave

CAT Preparation Community 3y ago

Three pipes A,B and C working together can fill a cistern in 6 hours. After working together for 2 hours, C is closed and A&B fill it in 7 hours more. How many hours will C alone take to fill the cistern?

3

Himanshu Rai 3y ago

Ans.14 Let work = 42 units and solve.

rishabh bansal 3y ago

Let total work = 6(A+B+C) Also, ATQ, TW = 2(A+B+C) + 7(A+B) Equating, we get, C = 3(A+B)/4 Substitute this value in the expression - = [6(A+B+C)]/C Solve by separating A & B, everything will get cancelled and you'll get 14 hours Solved under 60s

rishabh bansal 3y ago

Let total work = 6(A+B+C) Also, ATQ, TW = 2(A+B+C) + 7(A+B) Equating, we get, C = 3(A+B)/4 Substitute this value in the expression - = [6(A+B+C)]/C Solve by separating A & B, everything will get cancelled and you'll get 14 hours Solved under 60s

Join CAT 2026 course by 5-Time CAT 100%iler

Crack CAT 2026 & Other Exams with Cracku!

Enroll Now