Question

A contract is to be completed in 56 days and104 men were set to each working 8 hours a day after 30 days 2/5 of the work is finished how many additional men may be employed so that work may be completed on time

Answer 1

Answer:

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Explanation:

Solution 1

Persons worked = 104

Number of hours each person worked per day = 8

Number of days they worked = 30

Work completed =25=25

Remaining days = 56 - 30 = 26

Remaining Work to be completed =1−25=35=1−25=35

Let the total number of persons who do the remaining work =x=x

Number of hours each person needs to be work per day = 9

More days, less persons (indirect proportion)

More hours, less persons (indirect proportion)

More work, more persons (direct proportion)

Hence we can write as

(days)30:26(hours)8:9(work)35:25⎫⎪ ⎪ ⎪⎬⎪ ⎪ ⎪⎭::x:104(days)30:26(hours)8:9(work)35:25}::x:104

⇒30×8×35×104⇒30×8×35×104 =26×9×25×x=26×9×25×x

⇒x=30×8×35×10426×9×25 =30×8×3×10426×9×2 =30×8×10426×3×2 =30×8×43×2 =5×8×4=160⇒x=30×8×35×10426×9×25 =30×8×3×10426×9×2 =30×8×10426×3×2 =30×8×43×2 =5×8×4=160

Number of additional persons required = 160 - 104 = 56