Two pipes can fill an empty tank separately in 24 minutes and 40 minu…

Question

Two pipes can fill an empty tank separately in 24 minutes and 40 minutes respectively and a third pipe can empty 30 gallons of water per minute. If all three pipes are open, empty tanks become full in one hour. The capa…

Accepted Answer

Option B. 600 gallons. Answer & Solution Answer: Option B Solution: Let capacity of the tank = x gallons; Part of the tank filled in 1 minute & = x24 + x40 - 30 & Or, x24 + x40 - 30 = x60 & Or, x24 + x40 - x60 = 30 & Or, 10x + 6x - 4x 240 = 30 & Or,\,12x = 30 × 240 & Or,\,x = 600\, gallons

Two pipes can fill an empty tank separately in 24 minutes and 40 minutes respectively and a third pipe can empty 30 gallons of water per minute. If all three pipes are open, empty tanks become full in one hour. The capacity of the tank (in gallons) is:

Solution