Correct Answer - Option 2 : 44min 48 s
Given:
Zubin and Pravin can individually complete the job in 36 min and 60 min respectively. Starting with Zubin, they work alternately for a minute.
Concept Used:
If A and B can do a task alone in x min and y min respectively then total work = LCM of x and y
Calculation:
Total work = LCM of 36 and 60 = 180 units
Efficiency of Zubin = 180/36 = 5
Efficiency of Pravin = 180/60 = 3
Starting with Zubin they can do (5 + 3) = 8 unit of the task in (1 + 1) = 2 min
Now, 8 × 22 = 176
⇒ In an alternative minute, they together can do 176 unit task in (2 × 22) = 44 minutes
Remaining work = (180 - 176) = 4 unit
At the end of 44 minutes, Zubin will start to do the work
Zubin can do 5 unit task in 1 minute i.e in 60 second
⇒ To complete the remaining 4 unit task Zubin will take (4/5) × 60 = 48 second
Total time to complete the task (44 min + 48 second) = 44 Minutes 48 Seconds
∴ They will take 44 min 48 seconds to complete the task.