Can someone pls review my approach?
6 workers need 8 days for a job. This implies that one worker's rate is 8 / 6 = 4 / 3.
Rate of one worker = 4 / 3 times the new number of workers (6+4 = 10):
4/3 * 10 = 40/3 is the rate for all workers.
Take the reciprocal: 3 / 40 implies that they need 3 weeks for the work of 40.
Is this correct or did i just got lucky? Thanks!
You have made a sever mistake of this topic in the calculation you have shown 6 workers need 8 days for a job. This implies that one worker's rate is 8 / 6 = 4 / 3.
The highlighted part is a flaw in your process. The correct Understanding of the highlighted part is as mentioned below6 workers need 8 days for a job. This implies that one worker's rate is 8 * 6 = 48 days to finish the same job
The reason for this interpretation is Manpower is Inversely Proportional to the Time
. CONCEPT:i.e. more manpower causes less time to finish the job and Less manpower requires more time to finish the job
Work can be finished in 8 days
Remaining Days = 8-3 = 5 daysNow, 6 workers are joined by 4 more workers i.e. the Manpower Increases from 6 to 10 i.e. 5/3 of previous workforce
therefore New time taken should be reciprocal (Inversely Proportional) i.e. 3/5 of previous time i.e. New time = (5)*(3/5) = 3 days
So they Require 3 more days to finish the work.
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