A contract is to be completed in 52 days and 125 identical robots were employed, each operational for 7 hours a day. After 39 days, five-seventh of the work was completed. How many additional robots would be required to complete the work on time, if each robot is now operational for 8 hours a day?
7
125 robots working 7 h/day for 39 days complete 5/7 of the work. Remaining work requires:
\(125(7)(39)\frac25=13650\text{ robot-hours}\)
In the remaining 13 days at 8 h/day, required robots = 13650/104 = 131.25, rounded up to 132. Additional robots = 132 − 125 = 7.
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