Question

Ratul can do a piece of work in 24 days and Amal can do the same work in 32 days. They worked together for 8 days and then Amal left. How much time (in days ) will Ratul, working alone, take to complete the remaining work?

• A. 10 days
• B. 15 days
• C. 12 days
• D. 8 days

Answer 1

Answer:

A. 10 days

Let total work is 96 units ( LCM of 24 and 32) efficiency of Ratul = 96 /24 = 4 units The efficiency of Amal = 96 / 32 = 3 units So together do in one day 4 + 3 = 7 units they do in 8 days 7 × 8 = 56 units remaining, 96 - 56 = 40 units done by Ratul Ratul does the work in 40 / 4 = 10 days