Four pipelines A, B, C, and D can fill a tank separately in 8 hrs, 16

1.	Four pipelines A, B, C, and D can fill a tank separately in 8 hrs, 16 hrs, 12 hrs, and 16 hrs, respectively. If all the four pipes are opened, how long will it take tofill half of the tank?
Answer» Answer: 1.5 hours Step-by-step explanation: TIME taken by each pipe to FILL TANK separately: A = 8 B = 16 C = 12 D = 16 work done in 1 hr : by A = 1/8 by B = 1/16 by C = 1/12 by D = 1/16 work done in 1 hr when all pipes are opened : 1/8 + 1/16 + 1/12 + 1/16 = 1/3 time taken for tank to be full when all pipes are open: 3 hrs time taken to fill HALF of the tank : 3/2 = 1.5 hrs

Four pipelines A, B, C, and D can fill a tank separately in 8 hrs, 16 hrs, 12 hrs, and 16 hrs, respectively. If all the four pipes are opened, how long will it take tofill half of the tank?

Answer»

Answer:

1.5 hours

Step-by-step explanation:

TIME taken by each pipe to FILL TANK separately:

A = 8

B = 16

C = 12

D = 16

work done in 1 hr :

by A = 1/8

by B = 1/16

by C = 1/12

by D = 1/16

work done in 1 hr when all pipes are opened :

1/8 + 1/16 + 1/12 + 1/16

= 1/3

time taken for tank to be full when all pipes are open:

3 hrs

time taken to fill HALF of the tank : 3/2 = 1.5 hrs

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Four pipelines A, B, C, and D can fill a tank separately in 8 hrs, 16 hrs, 12 hrs, and 16 hrs, respectively. If all the four pipes are opened, how long will it take tofill half of the tank?​

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Four pipelines A, B, C, and D can fill a tank separately in 8 hrs, 16 hrs, 12 hrs, and 16 hrs, respectively. If all the four pipes are opened, how long will it take tofill half of the tank?