Logo
    Logo

    Subject

    Quantitative Aptitude

    Topic

    Pipes & Cistern

    Three Pipes P,Q and R can fill a tank in 6 hours. After working all three together for 2 hours. R is closed and P and Q can fill the remaining part in 7 hours.The number of hours taken by R alone to fill the tank is ?

    ক)
    10
    খ)
    12
    গ)
    14
    ঘ)
    16

    Explanation

    Solution: In 2 hours P,Q and R can fill = 2/6 = 1/3 part. Remaining part = 1 - 1/3 = 2/3 2/3 part filled by P and Q in = 7 hours. So, 1 part is filled by P and Q in  7×32=2127 \times \frac{3}{2} = \frac{{21}}{2} hours. So, R alone can fill = 1/6 - 2/21 = (7-4)/42 = 3/42 = 1/14 part So, R alone can fill the tank in = 14 hours.

    Related questions

    A can do a work in 10 days, B can do the same work in 15 days. If they work together, how long will it take them to finish the work ?Jamal needs 8 hours to do a job. Kamal takes 10 hours to do the same job. How long should it take Kamal & Jamal working together to do the job ?Two pipes A and B can fill a take in 20 and 30 minutes respectively. If both the pipes are used together, than how long will it take to fill the tank ?Rakib can complete a task in 30 minutes, and together with his brother Momin, he can complete the task in 20 minutes. How long would it take for Momin working along to complete the task ?A Pump can fill a tank with water in 2 hours. Because of a leak, it took 2132\frac{1}{3} hours to fill the tank. The leak can drain all the water of the tank in:Three Pipes can independently fill a water tank in 10, 12 and 15 hours. How many hours will it take for all three Pipes opened together to fill half of the tank ?Two Pipes A and B can fill a tank in 6 hours and 4 hours respectively; If they are opened on alternative hours and if pipe A is opened first, in how many hours, the tank shall be full ?A can do a work in 15 days and B in 20 days. If they on it together for 4 days, then the fraction of the work that is left is:

    Find Tutors

    View all Tutors