A completes one-third of a work in 5 days. With the help of B, he completes…
2025
A completes one-third of a work in 5 days. With the help of B, he completes the remaining work in 6 days. If A and B work together, in how many days will they complete the same piece of work?
- A.
8
- B.
12
- C.
10
- D.
9
Attempted by 1 students.
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Correct answer: D
Step-by-Step Solution
Determine A's Individual Rate:
A completes 1/3 of the work in 5 days.
A's daily rate = (1/3) / 5 = 1/15 of the work per day.
Calculate the Remaining Work:
Remaining work = Total work - Work already done = 1 - 1/3 = 2/3.
Determine the Combined Rate of A and B:
A and B together complete 2/3 of the work in 6 days.
Combined rate = (2/3) / 6 = 2/18 = 1/9 of the work per day.
Calculate Total Days for A and B to Finish the Work:
Total days = 1 / (Combined rate)
Total days = 1 / (1/9) = 9 days.