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Two gas filling tubes A and B can fill a gas cylinder in 15 minutes and 40 minutes respectively. Both the tubes are opened simultaneously but after 4 minutes, tube A is closed. How much time will it take to fill the cylinder?

Two gas filling tubes A and B can fill a gas cylinder in 15 minutes and 40 minutes respectively. Both the tubes are opened simultaneously but after 4 minutes, tube A is closed. How much time will it take to fill the cylinder? Correct Answer 29 <span style="">minutes </span>20 seconds

Given:

Quantity filled by Pipe A = 15 min

Quantity filled by Pipe B = 40 min

Formula used:

Work = Efficiency × Time

1 min = 60 sec

Calculation:

LCM of 15 and 40 is 120

Quantity filled by Pipe A in 1 min = (120/15) = 8 litre

Quantity filled by Pipe B in 1 min = (120/40) = 3 litre

Quantity filled by both in 4 min =   

⇒ (4 × 11) litres

⇒ 44 litres

Remaining quantity to be filled = (120 – 44) litres

⇒ 76 litres

Time required for Pipe B alone to fill the remaining quantity = (76/3)

⇒ 25 min (60/3) sec

⇒ 25 min 20 sec

Now,

Total time required = (4 min + 25 min 20 sec)

⇒ 29 min 20 sec

∴ The required time to fill the cylinder is 29 min 20 sec

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