Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Pipes and Cisterns

Question:

Tap P can fill a cistern in 6 hours and tap Q can empty the cistern in 20 hours. If both taps are kept opened simultaneously, then the time taken by both to fill the cistern:

Options:

\(\frac{60}{2}\)

\(\frac{60}{7}\)

\(\frac{50}{9}\)

\(\frac{50}{6}\)

Correct Answer:

\(\frac{60}{7}\)

Explanation:

Total work = efficiency × time 

Total efficiency = 10 - 3 = 7

Both ( P + Q )  will take time → \(\frac{60}{7}\)  = \(\frac{60}{7}\) hours