CAT Practice : Pipes cisterns, Work time

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Classic Work - Time Question!!

Mining

    Q.18: A mining team made a plan to mine up to 300 m in a certain number of days. After working as per plan for 5 days, they added new members to the team and hence could mine 5 m more per day. In this way, 4 days before the planned date, they had mined 295 m. How many meters of mining was initially planned for each day?
    1. 30 m
    2. 12.5 m
    3. 15 m
    4. 7.5 m

 

  • Correct Answer
    Choice C. 15 m

Detailed Solution

Given, 295 m was mined out of which first 5 days – planned. Using option analysis:

a) = 150 + 35 x 1 = 185 ≠ 295

b) = 62.5 + 17.5 x 15 = 325 ≠ 295

c) 1 = 75 + 20 x 11 = 295



Correct Answer: 15 m



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Mathematicians are creatures of habit. This topic has been called Pipes and Cisterns because someone named it like it long ago. Pipes and Tanks would be much better - at least makes it sound like wartime.