Question : 30 men can complete a work in 12 days. After 6 days, 24 more men joined them. How many days will it now take to complete the remaining work?
Option 1: $3\frac{1}{3}$ days
Option 2: $3\frac{2}{3}$ days
Option 3: $3\frac{1}{2}$ days
Option 4: $2\frac{1}{3}$ days
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Correct Answer: $3\frac{1}{3}$ days
Solution :
Given: 30 men can complete a work in 12 days. After 6 days, 24 more men joined them.
Let total work = (30 × 12) = 360 units.
So, work done by 30 men in 1 day = $\frac{360}{12}=30$ units,
And work done by 30 men in 6 days = (30 × 6) = 180 units.
Remaining work = (360 – 180) = 180 units.
After 6 days 24 men joined,
So, total men = (30 + 24) = 54
Therefore, time required to complete the remaining work = $\frac{180}{54}=3\frac{1}{3}$ days.
Hence, the correct answer is $3\frac{1}{3}$ days.
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