Subject

    Quantitative Aptitude

    Topic

    Time and Work

    Two pipes can fill a tank in 5 minutes and 6 minutes respectively and a third pipe empties the full tank in 10 minutes. How much time will be taken to fill the tank if all pipes open simultaneously?

    ক)
    30/11 min
    খ)
    3/10 min
    গ)
    3.52 min
    ঘ)
    15/4 min
    ঙ)
    11/30 min

    Explanation

    Tank filled by first, second and third pipe in 1 minute = 1/5, 1/6 and (-1/10) respectively. {Negative sign for the pipe which is making the tank empty instead of filling} ∴ Total part filled in 1 min =(15+16−110)=830=415= \left( {\frac{1}{5} + \frac{1}{6} - \frac{1}{{10}}} \right) = \frac{8}{{30}} = \frac{4}{{15}} ∴ Time taken to fill the tank =154=334min= \frac{{15}}{4} = 3\frac{3}{4}min Hence, required time to fill the tank completely is 15/4 minutes.
    The number  of days in which A and B together can finish a piece of work is 12 days less than the time taken by A alone and 27 days less than the time taken by B alone to finish the work. If A and B completed the work in 15 days with the help of C and got a total compensation of Rs 3000 for the work, then what is the share of C?5 men and 5 women earn Rs. 660 in 3 days. 10 men and 20 women earn Rs. 3500 in 5 days. In how many days can 6 men and 4 women earn Rs. 1060?8 men can complete a piece of work in 20 days.8 women can complete the same work in 32 days.In how many days will 5 men and 8 women together complete the same work?Two pipes fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 min. The capacity of the tank is?5 men and 2 boys working together can do four times as much work as a man and a boy.Working capacities of a man and a boy are in the ratio:P alone can complete a piece of work in 6 days and Q alone can complete the same piece of work in 12 days. In how many days can P and Q together complete the same piece of work?Jason won some goldfish at the state fair. During the first week 1/5 of them died and during the second week, 3/8 of those still alive at the end of the first week died. What fraction of the original goldfish were still alive after two weeks?Two pipes A and B can fill a cistern in 4 hrs. Had they been opened separately, then B would have taken 6 hrs more than A to fill the cistern. How much time will be taken by A to fill the cistern separately?

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