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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)  \frac {d}{m+r} ; (D) \frac {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 \frac {md}{m+r} days (D)

Chatuspathi:

  • What is this topic: Arithmetic
  • What are some of the associated concepts: Unitary Method
  • Where can learn these topics: Cheenta I.S.I. & C.M.I. course, discusses these topics in the ‘Arithmetic’ module.
  • Book Suggestions: Arithmetic by K.C. Nag

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)  \frac {d}{m+r} ; (D) \frac {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 \frac {md}{m+r} days (D)

Chatuspathi:

  • What is this topic: Arithmetic
  • What are some of the associated concepts: Unitary Method
  • Where can learn these topics: Cheenta I.S.I. & C.M.I. course, discusses these topics in the ‘Arithmetic’ module.
  • Book Suggestions: Arithmetic by K.C. Nag

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