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Breakdown occurs at average of 2 per hour in a machine in production shop. Cost of repairman is Rs.50/-
per hour and repair rate is 3 per hour. The average time that machine is waiting for the repairman will be:-
  • a)
    2/3 hrs
  • b)
    1/3 hrs
  • c)
    3/2 hrs
  • d)
    2 hours 
Correct answer is option 'A'. Can you explain this answer?
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Calculation of Average Waiting Time for Repairman

- Breakdown rate: 2 per hour
- Repair rate: 3 per hour
- Cost of repairman: Rs. 50 per hour

Calculation of Average Time Machine Waits for Repairman

- The net breakdown rate is 2 - 3 = -1 per hour (repair rate subtracted from breakdown rate)
- The machine is waiting for the repairman for 1 hour per 1 breakdown (-1 net breakdown rate)
- The average time the machine waits for the repairman = 1/1 = 1 hour

Therefore, the correct answer is option 'a) 2/3 hrs'. The machine waits for the repairman for 1 hour per breakdown on average.
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