The amount of time that B takes to fill the tank, pipe A fills it in i

1.	The amount of time that B takes to fill the tank, pipe A fills it in its one fourth time. Pipe C takes 3 times the time taken by pipe A. If all three pipes are opened simultaneously, it takes 33 hours to fill the tank. If pipe C is not switched on, how many hours will it take to fill the tank?1. 42.42. 41.53. 42.14. 41.8
Answer» Correct Answer - Option 4 : 41.8 Calculations : The amount of time that B takes to fill the tank, pipe A fills it in its one fourth time Pipe C takes 3 times as much as time taken by A Time for completing the work is 33 hours Concept used : Time taken by a person to complete a work is inversely proportional to his efficiency Person's per day work = Total work/Number of days taken by him to complete the work Calculations : Ratio of time for A to B is 1 : 4 Ratio of time taken for A to C is 1 : 3 Ratio of time for A, B and C will be 1 : 4 : 3 So ratio of the efficiencies for A, B and C will be A : B : C = 1 : (1/4) : (1/3) ⇒ 12 : 3 : 4 Let the work done by A, B and C per hour be 12x, 3x and 4x units respectively A, B and C per hour work = 12x + 3x + 4x = 19x units Total work = 19x × 33 Total work = 627x units Time taken by A and B to complete the work = 627x/15x ⇒ 41.8 hours ∴ Total time taken by a and B will be 41.8 hours

The amount of time that B takes to fill the tank, pipe A fills it in its one fourth time. Pipe C takes 3 times the time taken by pipe A. If all three pipes are opened simultaneously, it takes 33 hours to fill the tank. If pipe C is not switched on, how many hours will it take to fill the tank?1. 42.42. 41.53. 42.14. 41.8

Answer» Correct Answer - Option 4 : 41.8

Calculations :

The amount of time that B takes to fill the tank, pipe A fills it in its one fourth time

Pipe C takes 3 times as much as time taken by A

Time for completing the work is 33 hours

Concept used :

Time taken by a person to complete a work is inversely proportional to his efficiency

Person's per day work = Total work/Number of days taken by him to complete the work

Calculations :

Ratio of time for A to B is 1 : 4

Ratio of time taken for A to C is 1 : 3

Ratio of time for A, B and C will be 1 : 4 : 3

So ratio of the efficiencies for A, B and C will be

A : B : C = 1 : (1/4) : (1/3)

⇒ 12 : 3 : 4

Let the work done by A, B and C per hour be 12x, 3x and 4x units respectively

A, B and C per hour work = 12x + 3x + 4x = 19x units

Total work = 19x × 33

Total work = 627x units

Time taken by A and B to complete the work = 627x/15x

⇒ 41.8 hours

∴ Total time taken by a and B will be 41.8 hours