Taps A, B and C can fill a tank in 6 hours, 8 hours and 12 hours, respectively
. Tap D
can empty out the tank in 4 hours. The four taps, A, B, C and D, are allowed to run
for 4 hours, after which Tap D is closed. How long will it take for the 3 taps to fill the
ining tank?
Answers
Answered by
0
Answer:
20 minutes
Step-by-step explanation:
A, B and C can fill a tank in 6 hours, 8 hours and 12 hours
In 1 hr A, B and C can fill
1/6,1/8, and 1/12 part of tank
Tap D can empty in 4 hrs
IN 4 HR THE TANK LEVEL
=4/6+4/8+4/12-4/4
=1/24( 16+12+8-24)
=1/24( 36-24)
=12/24=1/2
SO 1/2 TANK IS FILLED
tank filled by three taps in 1 hr
=4/6+4/8+4/12
=1/24( 16+12+8)=36/24=3/2
so time taken to fill 1/2 part of tank
=(1/2)/3/2
=1/2*2/3
=1/3 hr =60/3= 20 minutes
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