Time and Work MCQs

A leak in the bottom of a tank can empty the full tank in 6 hrs.  An inlet pipe fills water at the rate of 4 lit. a minute.  When the tank is full, the inlet is opened and due to the leak, the tank is empty in 8 hrs.  The capacity of the tank in liters is ____?

A. 5,750 litres
B. 5,760 litres
C. 6,890 litres
D. None of these

P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 50 days to complete the same work. then Q alone can do it in ____?

A. 30 days
B. 25 days
C. 20 days
D. 15 days

10 men can complete a work in 7 days. But 10 women need 14 days to complete the same work. How many days will 5 men and 10 women need to complete the work?

A. 7
B. 5
C. 6
D. 4

P and Q need 8 days to complete a work. Q and R need 12 days to complete the same work. But P, Q and R together can finish it in 6 days. How many days will be needed if P and R together do it?

A. 7
B. 8
C. 9
D. 10

Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

A. 2700
B. 1080
C. 450
D. 1800

A alone can finish a work in X days. B alone can finish the same work in X+5 days. Together, they take 6 days to complete the work. Find X

A. 12
B. 8
C. 10
D. 9

A can do (1/3) of a work in 5 days and B can do (2/5) of the work in 10 days. In how many days both A and B together can do the work ?

A. 75/8 days
B. 44/6 days
C. 48/5 days
D. None of these

A leak in the lower portion of a tank can empty the full tank in 9 hrs.  An inlet pipe fills water at the rtae of 10 lit. a minute.  When the tank is full, the inlet is opened and due to leak, the tank is empty in 16 hrs.  How many litres does the cistern hold ?

A. 12,342 litres.
B. 12,444 litres
C. 12,566 litres.
D. None of thes

12 buckets of water fill a tank when the capacity of each bucket is 13.5 litres.  How many buckets will be needed to fill the same tank, if the capacity of each bucket is 9 litres?

A. 14
B. 15
C. 16
D. 18

A completes 80% of a work in 20 days. Then B also joins and A and B together finish the remaining work in 3 days. How long does it need for B if he alone completes the work?

A. 37 ½ days
B. 22 days
C. 31 days
D. 22 days

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