It takes two hours for a person X to mow the lawn. Y can mow the same lawn in four hours. How long (in minutes) will it take X and Y, if they work together to mow the lawn? A. 60 B. 80 C. 90 D. 120

GATE 2019 · General Aptitude · Work Time · medium

Answer: 80 minutes, which matches option B.

1. Compute individual rates: Rate_X = 1/2 lawn/hr. Rate_Y = 1/4 lawn/hr.
2. Combined rate when working together: R_total = 1/2 + 1/4 = 2/4 + 1/4 = 3/4 lawn per hour.
3. Time in hours: T = 1 / (3/4) = 4/3 hours.
4. Convert to minutes: Minutes = 4/3 x 60 = 240/3 = 80 minutes.