A can complete a work in 50 days, B in 60 days and C in 100 days. A and B start the work together and leave after 15 days. How long will it take for C to complete the remaining work?Question 2Answera.45 daysb.40 daysc.50 days d.43 days
Question
A can complete a work in 50 days, B in 60 days and C in 100 days. A and B start the work together and leave after 15 days. How long will it take for C to complete the remaining work?Question 2Answera.45 daysb.40 daysc.50 days d.43 days
Solution
Let's solve this step by step:
Step 1: Find out how much work A, B, and C can do in a day. A can complete the work in 50 days, so A can do 1/50 of the work in a day. Similarly, B can do 1/60 of the work in a day, and C can do 1/100 of the work in a day.
Step 2: Find out how much work A and B can do together in a day. A and B together can do (1/50 + 1/60) = 11/300 of the work in a day.
Step 3: Find out how much work A and B have done in 15 days. In 15 days, A and B together have done 15 * (11/300) = 11/20 of the work.
Step 4: Find out how much work is remaining. The remaining work is 1 - 11/20 = 9/20 of the work.
Step 5: Find out how long it will take for C to complete the remaining work. C can do 1/100 of the work in a day, so it will take C (9/20) / (1/100) = 45 days to complete the remaining work.
So, the answer is a. 45 days.
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