Aryan takes 12 hours to mow a large lawn. He and Arman together can mow it in 7 hours. How long will Arman take to mow the lawn if he works alone?
Given:
Aryan alone = 12 hours
Aryan + Armaan together = 7 hours
Find: Time taken by Armaan alone (using LCM method)
Formula Used:
Efficiency = Work / Time
Solution:
Total work = LCM(12, 7) = 84 units
Aryan’s efficiency = = 7 units/hour
Aryan + Armaan efficiency = = 12 units/hour
So,
Armaan’s efficiency = 12 - 7 = 5 units/hour
Time taken by Armaan = \frac{84}{5} = 16.8 hours
= 16 hours 48 min.
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