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Time and Work & Pipes and Cistern II Quantitative Aptitude II MH-CET 2021 II 14 August

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Question 1

A and B are two workers. Working together they can complete the work in 20 hours. If A worked for 5 hours and B worked for 17 hours, only half of the work was done. In how many hours can A working alone can finish the work.

Question 2

The work done by a woman in 8 hours is equal to the work done by a man in 6 hours and by a boy in 12 hours. If working 6 hours per day 9 men can complete a work in 6 days then in how many days can 12 men, 12 women and 12 boys together finish the same work working 8 hours per day?

Question 3

The ratio of work done by 30 women and 20 men in the same time is 5:6. If 9 women and 6 men can complete the piece of work in 10 days, then find how many women will be required to complete the work in 3 days?

Question 4

Alok can do a piece of work in 18 days and Mohan can do the same work in 24 days. Alok started the work and after 10 days Mohan joined with Alok. In how many days the work will be completed?

Question 5

The ratio of time taken by A, B and C to complete a work alone are 3 : 4 : 2. B and C together can do the same work in 8 days. In how many days A alone can do the same work?

Question 6

Three pipes A, B and C together can fill a tank in 6 hours. After working together for 2 hours, C is closed and A and B fill the remaining part of the tank in 8 hours. In how much time (in hours) tank can be completely filled by pipe C alone?

Question 7

P and Q are two taps which can fill a tank individually in 5 minutes and 10 minutes respectively. However, there is a leakage at the bottom which can empty a filled tank in 15 minutes. If the tank is empty initially, how much time will both the taps take to fill the tank (leakage is still there)?

Question 8

Three pipes A, B and C can fill a tank in 27 hours. After working for 3 hours together C is closed. A and B can now fill the tank in 9 hours more than A, B and C together. In how much time C alone can fill the tank?

Question 9

A pipe ‘P’ can fill a tank in 12 minutes and another pipe ‘Q’ can fill it in 16 minutes. But the third pipe ‘R’ can empty it in 6 minutes. The first two pipes P and Q are kept open for 4 minutes in the beginning and then third pipe R is also opened. How long will take to empty the tank?

Question 10

Pipe A and B can fill a tank in 12 hours and 15 hours respectively while pipe C can empty the 50% of the tank in 9 hours. If pipe A is opened at 7 am, pipe B at 8:30 am and pipe C at 10 am, then after 10 am how much more time will be taken by all the three pipes together to fill the tank?

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