A contract is to be completed in 56 days if 104 persons work each working at 8 hours a day After 30 ...........

Quantitative Aptitude ( CCS) Time and work

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.

160

150

छोटे Courses बड़े Results

Master Time and work

Prepare through Micro-courses

Try Now

Explanation:

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

Amount of work 1 person did in 1 day, working 1 hours a day = (25)104×30×8

Now, the amount of work x person should do in 1 day, working 1 hours a day = (35)26×9

⇒ x = 35)26×9(25)104×30×8 = 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

Hence, option 3 is the correct answer.