if a work completed in 15 day by 10 person, how much time would 25 persons take to complete the same work?
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Answer:
Answer is 25 days
Solution : Read step wise below
Total work in units = 40 units ( i.e the LCM of 20,10 and 8)
Rate of work done by 10 people = total work / time taken
Rate of work by 10 people = 40units / 20 days = 2units/day
Rate of work by 1 person = 2 /10 = 1/5
Rate of work by 8 person = 8 × 1/5 = 8/5
Time taken by 8 person = total work / rate of work by 8 person
= 40 units / (8/5) units/day
25 days
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