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A contractor agreed to construct a 6 km road in 200 days. He employed 140 persons for the work. After 60 days, he realized that only 1.5 km road has been completed. How many additional people would he need to employ in order to finish the work exactly on time?
40
43
45
67
Let’s break down the problem:
- Total road to construct: 6 km in 200 days.
- Total people initially: 140.
- Work done in 60 days: 1.5 km.
- Remaining road: 6 - 1.5 = 4.5 km.
- Remaining days: 200 - 60 = 140 days.
- In 60 days, 1.5 km by 140 people, so 1 km by 140 × 60 / 1.5 = 5600 man-days/km.
- So, 4.5 km needs 4.5 × 5600 = 25,200 man-days.
- People required to complete in 140 days: 25,200 / 140 = 180.
- Additional people needed: 180 - 140 = 40.
Explanation of options:
- Option 1: 40 – This is the correct answer.
- Option 2: 43 – Too high, calculation mismatch.
- Option 3: 45 – Slightly higher, again not matching calculated requirement.
- Option 4: 67 – Much too high, not supported by calculations.
Correct Answer: Option 1 (40).
By: sunny bhonsle ProfileResourcesReport error
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