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Question

There are two taps to fill a tank and a third to empty it. When the third tap is closed, they can fill the tank in 10 minutes and 12 minutes respectively. If all the three taps are opened, the tank is filled in 15 minutes. If the first two taps are closed, in what time can the third tap empty the tank when it is full ?
  1. 847 min
  2. 947 min
  3. 747 min
  4. 447 min

A
847 min
B
747 min
C
947 min
D
447 min
Solution
Verified by Toppr

Let the third tap take x minutes to empty the tank. Then,
110+1121x=1151x=110+112115=6+5460=760
The third tap takes 607 min =847 min to empty the tank.

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