A contract is to be completed in 56 days

Asked by admin @ 20/08/2021 in Math viewed by 328 People

A contract is to be completed in 56 days if 104 persons work, each working at 8 hours a day. After 30 days, 2/5 of the work is completed. How many additional persons should be deployed so that the work will be completed in the scheduled time,each persons now working 9 hours a day.

Answered by admin @ 20/08/2021

Persons worked = 104
Number of hours each person worked per day = 8
Number of days they worked = 30
Work completed = 2/5

Remaining days = 56 - 30 = 26
Remaining Work to be completed = 1 - 2/5 = 3/5
Let the total number of persons who do the remaining work = 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

Days30:26
Hours8:9
Work3/5:2/5}::x:104

⇒30×8×3/5×104=26×9×2/5×x
X=(30*8*3*104)/26*9*2=160
Number of additional persons required 160- 104 = 56days
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Asked by maham237 @ 11/01/2021 in Mathematics viewed by 279 persons

A contract is to be completed in 56 days

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