Question
Dhamu can complete a task on his own in 10 days. When
Dhamu collaborates with Gaja, they can finish the same task in 6 days. Determine the number of days it would take for Gaja to complete 50% of the task by himself.Solution
Let total work = 30 units Efficiency of Dhamu = (30/10) = 3 units/day Combined efficiency of Dhamu and Gaja = (30/6) = 5 units/day Therefore, efficiency of Gaja = 5 - 3 = 2 units/day Required number of days taken = (0.50 x 30)/2 = 15/2 = 7(1/2) days
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