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
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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.
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