Question

Amit can complete a piece of work in 120 days. Amit and Sejal can complete the same work in 72 days. They started together but Sejal left after working for 20 days. Find the approximate number of days in which Amit will complete the remaining work.

• A. 87 days
• B. 76 days
• C. 90 days
• D. 84 days

Answer 1

Answer:

A. 87 days

Solution:

Given:

Amit's work time = 120 days; Amit+Sejal's work time = 72 days; Sejal worked for 20 days

Solution:

	Time taken	Total work	Efficiency
Amit	120	360	3
Amit + Sejal	72		5

 

Total work = 360

Since, they work together for 20 days,

So, 

Work done in 20 days by both = 5 × 20 = 100

Now, 

Remaining work = 360 - 100 = 260

So, Time taken by Amit to complete the remaining work

⇒ 260/3 = 86.66 ≈ 87 days

∴ The correct answer is option (A).