Question
A team of 15 workers was assigned to complete a task in 30
days. After working together for 20 days, they discovered that only half of the work had been completed. To finish the remaining work within the original deadline, how many additional workers need to be hired?Solution
Let the total work = 15 × 30 = 450 units
Work done in 20 days = 450/2 = 225 units
Work left = 450 – 225 = 225 units
Now, the work done in 20 days has to be completed in 10 days.
So, (15 × 20) = (15 + x) × 10
300 = 150 + 10x
x = 15
So, 15 more men are required to complete the work on time.
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