Question
A group of 24 men is capable of finishing a task in 15
days. Initially, 12 men begin the job and work on it for 12 days. After this period, an additional 'x' number of men join them, enabling the team to complete the remaining portion of the task in another 12 days. Assuming all men work at the same rate, determine the number 'x' of additional men that joined the work.Solution
According to the question, Total work = 24 × 15 = 360 units Amount of work completed by 12 men in 12 days = 12 × 12 = 144 units Amount of work to be completed by (12 + x) men = 360 – 144 = 216 units Therefore, (12 + x) × 12 = 216 Or, 12 + x = 18 Or, x = 6 Hence, option d.
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