Question

Ranga can paint a house in 3 days working alone, how long will it take to paint the house along with Billa.
Statements: a) Billa can paint the house in 4 days working alone.
b) Working together with Ranga Billa does 3/7 th of the total work.
options:
1. both are sufficient
2.both are not sufficient
3.only a is sufficient
4.only b is sufficient

Answer 1

1.both are sufficient

Answer 2

Option 3 is correct answer.

Step-by-step explanation:

Ranga can paint the house $T_{1}$= 3 days

Statement - A  Billa can paint the house in 4 days working alone.

So Time taken by both to complete the work by working together =  

$T = \frac{T_{1} T_{2}}{T_{1} + T_{2}}$

Put the values of $T_{1}$ & $T_{2}$ in above equation

$T = \frac{12}{7}$ days

Thus statement A alone is sufficient to answer the question.

Therefore option 3 is correct answer.