Question

Prabhas is twice as good a workman as Rana and finishes a piece of work in 3 hours. In how many hours they together could finish that piece of work?
A) 3 hrs
B) 3.5 hrs
C) 2.5 hrs
D) 2 hrs

Answer 1

Hey


Here is the answer.


Given : Prabhas is twice as good a workman as Rana.

Prabhas finishes the work in 3 hrs

Solution :

As Prabhas finishes the work in 3 hrs

So, Rana will finish the work in 6 hrs as Prabhas is twice as good a workman as Rana.


So work done by Rana in 1 hr = 1/6 work

work done by Prabhash in 1 hr = 1/3 work

Work done together in 1 hr

= 1/6 + 1/3

= 3+6/6×3

= 9/18 = 1/2


So, half work(1/2) is done in 1 hr

Hence, for completing one work (1) together they will need

1/(1/2) = 2 hr


So, in 2 hours they together could finish that piece of work

Answer : (D) 2 hr


Thanks

Answer 2

Hey there !

Option D, 2 hrs

Thank you