Discussion

Explanation:

We know, efficiency of a pipe ∝ cross-section

and, cross-section ∝ (radius)2

⇒ efficiency ∝ (radius)2

efficiency of bigger pipeefficiency of smaller pipe = radius of bigger piperadius of smaller pipe = 41

Also, Time ∝ 1/efficiency

Time taken by bigger pipeTime taken by smaller pipe = efficiency of smaller pipeefficiency of bigger pipe

⇒ 60/x = 1/4 

⇒ x = 240 minutes

Now, when they work together time taken to fill the tank = 1160+1240 = 48 minutes.

Hence, option (d).

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