Two pipes A and B can seperately fill a tank in 6 hours and 8 hours respectively. Both the pipes are opened together, but 2.5 hour after the start, the pipe B is turned off. How much time will it take to fill the tank?
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Answer:
4hr 7 min 30 sec
Step-by-step explanation:
capacity of tank = L.C.M(6,8)
= 24 litres
efficiency of A = 24/6 = 4 litre/hr
efficiency of B = 24/8 = 3 litre/hr
water filled in 2.5 hrs
= 4×2.5 + 3×2.5 = 17.5 litre
tank remaining to fill = 24 - 17.5 = 6.5
so total time it will take to fill the tank
= 2.5 + (6.5/4) = 4.125 hrs
= 4 + 125/1000 * 60
= 4 hrs 7 min 30 seconds
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