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# Men and Job Problem | Tomato Question 2 | ISI Entrance

This is a problem from TOMATO Problem number 2, useful for ISI and CMI entrance exam based on Men and Job.

Problem:

If m men can do a job in d days, then the number of days in which m+r men can do the job is
(A) d+r; (B) ( \frac{d}{m} (m+r)) ; (C) ( \dfrac {d}{m+r} ) ; (D) ( \dfrac {md}{m+r} );

Discussion:

If m men can do a job in d days,
Then m men does ( \frac {1}{d} ) job in 1 day
Then 1 man does ( \frac {1}{md} ) job in 1 day
Then m+r men does ( \frac {m+r}{md} ) job in 1 day
Then m+r men does 1 job ( \frac {md}{m+r} ) days.

Hence answer is ( \dfrac {md}{m+r} ) days (D)

## Chatuspathi:

• What is this topic:Â Arithmetic
• What are some of the associated concepts: Unitary Method
• Where can learn these topics:Â CheentaÂ I.S.I. & C.M.I. course, discusses these topics in the â€˜Arithmeticâ€™ module.
• Book Suggestions:Â Arithmetic by K.C. Nag

## By Dr. Ashani Dasgupta

Ph.D. in Mathematics, University of Wisconsin, Milwaukee, United States.

Research Interest: Geometric Group Theory, Relatively Hyperbolic Groups.

Founder, Cheenta

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