A contractor employed 35 with a target to do a piece of work in 37 days. after 20 days, he employed 10 more men and the work was finished 3 days earlier. how many days he would have been behind, if he had not employed additional men?
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Answer:
1 day
Step-by-step explanation:
35 men employed to finish a piece of work in 37 days.
After 20 days 10 more men were employed, so 45 men started working.
1. Time left to finish the work was 37-20 = 17 days.
2. Time taken to finish the remaining piece of work by 45 men was 17-3=14 as they finished the work 3 days earlier.
3. So if 45 men take 14 days to finish a certain piece of work, for 35 men to complete the same piece of work would require 45*14/35 = 18 days.
As 17 days were left to finish the work (as calculated in step 1 above), had the extra men were not employed, the contractor would have finished the work 18-17=1 day behind schedule.
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