Three pipes A, B & C can fill a tank in 300 min, 360 min & 480
respectively. If all the pipes are opened simultaneously, how
long will it take for the tank to get full?
a) 122 min b) 130 min c) 135 min d) 150 min
Answers
Answer:
122 min to fill the tank
Given : Three pipes A, B & C can fill a tank in 300 min, 360 min & 480 respectively
all the pipes are opened simultaneously
To Find : how long will it take for the tank to get full
a) 122 min b) 130 min c) 135 min d) 150 min
Solution:
pipe A fill in1 min= 1/300
pipe B fill in 1 min = 1/360
pipe C fill in 1 min = 1/480
All together fill in 1 min = 1/300 + 1/360 + 1/480
= (1/60) ( 1/5 + 1/6 + 1/8)
= (1/60) ( 24 + 20 + 15) /120
= (1/ 7200) (59)
Time taken to fill tank = 7200/59
= 122.03
= 122 mins
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