Question

A,B and C finish a work in 15 days , 20 days and 25 days . If all the three work for a day each in turn , then on which day the work will be completed? with solutions​

Answer 1

Answer:

On 7th day, the work will be completed.

Step-by-step explanation:

A finishes work in 15 days.

B finishes work in 20 days.

C finishes work in 25 days.

Total work = LCM(15, 20, 25)

15 = 3 × 5

20 = 2 × 2 × 5

25 = 5 × 5

LCM = 2² × 3¹ × 5² = 300

For A, 300/15 = 20

A can complete 20 units of work in one day.

For B, 300/20 = 15

A can complete 15 units of work in one day.

For C, 300/25 = 12

A can complete 12 units of work in one day.

Total work is 300 units.

If all work for one day each, x days will be required to complete the work.

x(20 + 15 + 12) = 300

x(47) = 300

x = 6.38

Approximately 7 full days.