CSAT: Time and Work Quiz

Question

A can do a piece of work in 12 days, B can do the same work in 16 days, and C can do it in 24 days. If they work together, how many days will it take to complete the work?

Accepted Answer

Step 1: Calculate the work done by each per day Work done by A in 1 day = 1/12 Work done by B in 1 day = 1/16 Work done by C in 1 day = 1/24 Step 2: Total work done by A, B, and C in 1 day Total work/day = 1/12 + 1/16 + 1/24 Find LCM of 12, 16, 24 = 48 1/12 = 4/48 1/16 = 3/48 1/24 = 2/48 Total work/day = 4/48 + 3/48 + 2/48 = 9/48 = 3/16 Step 3: Total days to complete the work Total days = 1 ÷ (3/16) = 16/3 ≈ 5.33 days ✅ Answer Approximately 5 1/3 days (Option B: 5 days)

Answer

6 days

Answer

5 days

Answer

4 days

Answer

3 days

Options

Explanation

Step 1: Work done by each per day

Step 2: Total work done by A, B, and C in 1 day

Step 3: Total days to complete the work

✅ Answer

Question