Question

72 men are engaged for a task with a timeline given beforehand. It is found that in 38% of the given time
13
36% of the task is accomplished. How many additional men are to be engaged so that the timeline can be
met?
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Answer 1

Given :- 72 men are engaged for a task with a timeline given beforehand. It is found that in 38% of the given time 36% of the task is accomplished. How many additional men are to be engaged so that the timeline can be met ?

Solution :-

given that, in 38% of the given time 36% of the task is accomplished.

So, we can say that,

• Time left = 100 - 38 = 62% .
• Work left = 100 - 36 = 64% .

now, we can say that, 72 men completes 36% of the task in 38% of the given time. we need to find how many men needed to complete left work 64% in left 62% of time.

we know that,

• Time ∝ (1/work done).

Let us assume that, Total x men completes rest of the work.

So, Applying chain rule we get,

→ 72 * 64 * 38 = x * 36 * 62

dividing both sides by 36,

→ 64 * 38 * 2 = 62x

→ 62x = 4864

dividing both sides by 62,

→ x ≈ 78 men .

Therefore,

→ Additional men to be engaged = 78 - 72 = 6 men (Ans.)

Hence, 6 additional men are to be engaged so that the timeline can be met.

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