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The question is from Time and work: Laying wires. Three people's capability to lay some amount ofwire together is given. What is the capabilty of one person?

Question 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

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Method of solving this CAT Question from Pipes Cisterns and Work Time: Their efficiency is in an AP!

Length of wire all 3 of them can lay in a day = $$frac{432}{8}\\$ = 54 m On an average, $\frac{54}{3}\\$ = 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 *$18 – x) = 5 * (18 + x)
126 – 7x = 90 + 5x
=> 36 = 12x
=> x = 3
Therefore, Anuj in a day = 18 – 3 = 15 m

The question is "How many meters of wire can Anuj alone lay in a day?"

Hence, the answer is "15 m".

Choice B is the correct answer.

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