A can do a piece of work in 12 days and B in 18 days. Working together, they finish it in:

Question

Rahul, Rakshita and Gurmeet, working together, would have taken more than 7 days to finish a job. On the other hand, Rahul and Gurmeet, working together would have taken less than 15 days to finish the job. However, they all worked together for 6 days, followed by Rakshita, who worked alone for 3 more days to finish the job. If Rakshita had worked alone on the job then the number of days she would have taken to finish the job, cannot be

Answer 1

Step 1: One day's work \(= \dfrac{1}{12}+\dfrac{1}{18} = \dfrac{3+2}{36} = \dfrac{5}{36}\).
Step 2: Time together \(= \dfrac{36}{5} = 7.2\) days.

Quick Tip: Add per-day rates, then invert the sum to get the combined time.

A can do a piece of work in 12 days and B in 18 days. Working together, they finish it in:

The Correct Option is A

Solution and Explanation

Top Questions on Time and Work

Questions Asked in ATMA exam