Question

IF 10 PEOPLE COMPLETE A WORK FOR 20 DAYS , HOW MANY DAYS CAN 8 PEOPLE COMPLETE THE SAME WORK ?

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Answer 1

Answer:

Answer is 25 days

Step-by-step explanation:

Total work in units = 40 units ( i.e the LCM of 20,10 and 8)

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

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 takenRate of work by 10 people = 40units / 20 days = 2units/day

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 takenRate of work by 10 people = 40units / 20 days = 2units/dayRate of work by 1 person = 2 /10 = 1/5

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 takenRate of work by 10 people = 40units / 20 days = 2units/dayRate of work by 1 person = 2 /10 = 1/5Rate of work by 8 person = 8 × 1/5 = 8/5

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 takenRate of work by 10 people = 40units / 20 days = 2units/dayRate of work by 1 person = 2 /10 = 1/5Rate of work by 8 person = 8 × 1/5 = 8/5Time taken by 8 person = total work / rate of work by 8 person

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 takenRate of work by 10 people = 40units / 20 days = 2units/dayRate of work by 1 person = 2 /10 = 1/5Rate of work by 8 person = 8 × 1/5 = 8/5Time taken by 8 person = total work / rate of work by 8 person= 40 units / (8/5) units/day

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 takenRate of work by 10 people = 40units / 20 days = 2units/dayRate of work by 1 person = 2 /10 = 1/5Rate of work by 8 person = 8 × 1/5 = 8/5Time taken by 8 person = total work / rate of work by 8 person= 40 units / (8/5) units/day25 days