Humans and robots can both perform a job but at different efficiencies. Fifteen humans and five robots working together take thirty days to finish the job, whereas five humans and fifteen robots working together take sixty days to finish it. How many days will fifteen humans working together (without any robot) take to finish it?
Started 3 months ago by Shashank in
Explanatory Answer
Let a Human complete ‘H’ units of work per day and a Robot complete ‘R’ units of work per day
Given,
15H + 5R = (1/30) th work per day --- (1)
5H + 15R = (1/60) th work per day --- (2)
Dividing (1) and (2) by 5 and solving,
3H + R = (1/150) and H + 3R = (1/300)
9H + 3R = 1/50
(-) H + 3R = 1/300
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8H = 1/50 - 1/300 => 8H = 1/60
H = 1/480
Work done by 15 Humans in a day = 15/480 = 1/32
No of days required for 15 humans to complete the work = 32 days
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