Question

A and B working together can complete a job in 30 days. The ratio of their efficiencies is 3 : 2. In how many days can the faster person complete the job?

• A. 50
• B. 30
• C. 40
• D. 60

Answer 1

Answer:

A. 50

Solution:

Given:

A and B working together can complete a job in 30 days. The ratio of their efficiencies is 3 : 2.

Calculation: 

Let total work to be done = 150 units

Let efficiency of A and B respectively be 3x and 2x units/day

⇒ (3x + 2x) × 30 = 150

⇒ x = 1

Time taken by faster person, i.e A $=\frac{150}{3\times{1}}=50days$

The time taken by faster person is 50 days.

Alternate Method:

Fastest person is A Efficiency of A is 3

$\frac{150}{3}=50 days$