Question

    35 people working 7 hours a day take 22 days to complete

    a task. How many people working for 6 hours a day are needed to complete five times the given task in 40 days if they work at 30% higher efficiency? (can calculate approximate value)
    A 19 Correct Answer Incorrect Answer
    B 43 Correct Answer Incorrect Answer
    C 22 Correct Answer Incorrect Answer
    D 87 Correct Answer Incorrect Answer

    Solution

    Original work = 35 people × 7 hrs/day × 22 days = 5390 man-hours New task = 5 times the original = 26950 man-hours New workers: work 6 hrs/day for 40 days, but 30% more efficient, so effective = 7.8 hrs/day Total work each person can do = 7.8 × 40 = 312 hrs Let number of people = x, so total work = 312x=26950 Solving: x = 26950 ÷ 312 ≈ 86.37 or 87

    Practice Next

    Relevant for Exams: