It takes Yogesh 3 days more than Vivek to do a job. If both of them work together, it takes them 2 days to complete the work. So how many days does it take everyone to do that work alone ?
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Answer:
Vivek takes 3 days to complete his work
Yogesh takes 6 days to complete his work.
Step-by-step explanation:
Time taken by Vivek=x days.
Time taken by Yogesh=x+3 days
1/x+1/x+3=1/2(One Day's work done)
x+3+3/x(x+3)=1/2
2(2x+3)=x(x+3)
x²+3x=4x+6
x²+3x-4x-6=0
x²-x-6=0
x²+3x+2x-6=0
x(x-3)+2(x-3)=0
(x-3)(x-2)(Not possible).
Therefore
- Vivek takes 3 days to complete his work
- Yogesh takes(x+3)=(3+3)=6 days to complete his work.
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