Time and Work Question & Answers
Four pipes A,B, C and D can fill a cistern in 20,25, 40 and 50 hours respectively.The first pipe A was opened at 6:00 am, B at 8:00 am, C at 9:00 am and D at 10:00 am. when will the Cistern be full?
|A) 4:18 pm||B) 3:09 pm|
|C) 12:15 pm||D) 11:09 am|
Efficiency of P= 5%
Efficiency of Q= 4%
Efficiency of R= 2.5%
Efficiency of S= 2%
Thus, at 10 am pipe P,Q and R filled 30.5% of the cistern.
Now, the time taken by P,Q,R and S together to fill the remaining capacity of the cistern
= = =5 Hours and 9 minutes(approx)
Therefore, total time =4 hrs + 5hrs 9 mins
= 9 hrs and 9 mins
It means cistern will be filled up at 3:09 pm
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