Question

Amit can do a task in 10 days and Bhanu can do the same task in 40 days. In how many days will the task be completed if they work together ?

• A. 7
• B. 8
• C. 10
• D. 12

Answer 1

The Correct Option is B

Solve the problem by calculating the work done by Amit and Bhanu per day and then find how many days they will take to complete the task together.

1. Amit can complete the task in 10 days. Therefore, Amit's work rate is: Amit's work rate = 1 task/10 days = 1/10 of the task per day.

2. Bhanu can complete the task in 40 days. Therefore, Bhanu's work rate is: Bhanu's work rate = 1 task/40 days = 1/40 of the task per day.

3. The combined work rate of Amit and Bhanu when working together is the sum of their individual work rates:

Combined work rate = (1/10) + (1/40)

4. To add these fractions, find the common denominator:

1/10 = 4/40 (by multiplying both numerator and denominator by 4)

Therefore, the combined work rate is:

(4/40) + (1/40) = 5/40 = 1/8

This means Amit and Bhanu together can complete 1/8 of the task in one day.

5. Therefore, they will take 8 days to complete the entire task together.

Hence, the task will be completed in 8 days.