CAT Quantitative Aptitude Questions | CAT Time and Work questions

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

Explanatory Answer

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.