Exams › SSC CGL (Prelims) › General
X can complete a project in 14 days and Y in 10 days. When Z joins them, the work is finished in 3.5 days. How many days would Z need alone?
- 8 days
- 8.75 days
- 9.33 days
- 10 days
Correct answer: 8.75 days
Solution
X’s rate is $1/14$ per day and Y’s rate is $1/10$ per day. Together with Z, the rate is $1/3.5=2/7$ per day. So Z’s rate is $2/7 - 1/14 - 1/10 = 2/35$, meaning Z alone takes 35/4 = 8.75 days.
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