Five men can prepare $10$ toys in $6$ days working $6$ hours a day. In how many days can $12$ men prepare $16$ toys working $8$ hours a day?
Practice this question from Chapter Mock 7: Time and Work, Pipe and Cistern, with options and an explanation.
Question
Five men can prepare $10$ toys in $6$ days working $6$ hours a day. In how many days can $12$ men prepare $16$ toys working $8$ hours a day?
Option A
2 days
Option B — Correct answer
3 days
Correct choice.
Option C
4 days
Option D
5 days
Explanation
Use the men-days-hours-work relation: $5\times6\times6\times16=12\times D\times8\times10$. Solving gives $D=3$ days.