CAT Practice : Pipes cisterns, Work time

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Classic Work - Time Question!!

Laying Wires

    Q.21: Anuj, Bibhuti and Chandu can lay 432 m of wires together in 8 days. In a day, Chandu can lay as many more meters of wire than Bibhuti as Bibhuti can lay more than Anuj. Chandu’s 5 days of work is equivalent to Anuj’s 7 days of work. How many meters of wire can Anuj alone lay in a day?
    1. 9 m
    2. 15 m
    3. 18 m
    4. 21 m

 

  • Correct Answer
    Choice B. 15 m

Detailed Solution

Length of wire all 3 of them can lay in a day = = 54 m

On an average, = 18 m will be laid by each which as per question should be the length Bibhuti can lay in a day

Therefore, Anuj = 18 – x ; Chandu = 18 + x

Given,

7 x (18 – x) = 5 x (18 + x)

126 – 7x = 90 + 5x

=) 36 = 12x

=) x = 3

Therefore, Anuj in a day = 18 – 3 = 15 m



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.