Question : 18 men can do a piece of work in 20 days. After working for 8 days, they get a notice to complete the work 4 days earlier than originally scheduled. How many more men will be required to be hired to complete the work as per the new schedule?
Option 1: 9
Option 2: 12
Option 3: 8
Option 4: 15
Correct Answer: 9
Solution :
18 men can do a piece of work in = 20 days
After working for 8 days, they get a notice to complete the work 4 days earlier than originally scheduled
The total work = 18 × 20 = 360 units
Work for 8 days then the work completed in 8 days = 18 Men × 8 Days = 144 units
The work done in 8 days by 18 men = 144 units
The remaining work = 360 – 144 = 216
The remaining days is = 20– 4 – 8 = 20 – 12 = 8 days
The more men required to complete the work in 8 days are $x$.
⇒ 216 = (18 + $x$) × 8
⇒ 18 + $x$ = 27
⇒ $x$ = 27 – 18 = 9
$\therefore$ 9 more men are required to complete the work as per the new schedule.
Hence, the correct answer is 9.
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