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You are here: Home  »  CAT Practice Questions  »  Quant, Math  »   Work - Time & Pipes - Cisterns   »   Question 8

Work Time Practice Question - CAT 2012 Prep

The question for the day is from the topic Work and Time.

Question 8

A man can do a piece of work in 60 hours. If he takes his son with him and both work together then the work is finished in 40 hours. How long will the son take to do the same job, if he worked alone on the job?
  1. 20 hours
  2. 120 hours
  3. 24 hours
  4. 48 hours
  5. None of these

Correct Choice - (2). Correct Answer is 120 hours


Explanatory Answer

If the man takes 60 hours to complete the work, then he will finish 1/60 th of the work in 1 hour.

Let us assume that his son takes x hours to finish the same work.
If they work together for 1 hour they will finish 1/60 + 1/x = 1/40th of the work.
Therefore, 1/x = 1/120

The son, working alone would take 120 hours to complete the work.



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