2. Sample Papers
  3. SSC

SSC Sample Paper Mock Test-1 SSC CGL Tear-II Paper-1

  • question_answer
    Two pipes X and Y can fill a tank in 36 min 45 min, respectively. A waste pipe Z can empty tank in 30 min. First X and Y are opened. After 7 min, Z is also opened. In how much time, the tank is full?                                     

    A) 54 min             

    B)  64 min         

    C)  46 min

    D)  36 min   

    Correct Answer: C

    Solution :

    Part filled in 7 min \[=7\times \left[ \frac{1}{36}\times \frac{1}{45} \right]=\frac{7}{20}\] Remaining part \[=\left[ 1-\frac{7}{20} \right]=\frac{13}{20}\] Pan filled by (X+Y+Z) in 1 min \[=\left[ \frac{1}{36}+\frac{1}{45}-\frac{1}{30} \right]=\frac{1}{60}\] Now \[\frac{1}{60}\]part is filled by them in 1 min \[\therefore \]\[\frac{13}{20}\]part will be filled in \[\left[ \frac{60\times 13}{20} \right]\]=39 min \[\therefore \]Total time taken to fill the tank \[=(39+7)=46\] min


You need to login to perform this action.
You will be redirected in 3 sec spinner