a man Travels 108 km and find the could have made the journey in 4*2+1 hours less had he travel 2 kilometre an hour faster at what rate did he travel
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Let the man travels with speed x km/hr
So time taken to cover the distance of 108 km=x108
If speed increases by 2 km/hr
Now, speed =x+2
Then time requires to cover 108 km=x+2108
these two time has difference of 421=29 hour
Therefore , x108−x+2108=29
x(x+2)[108(x+2)−108x]=29
x2+2x108x+216−108x=29
x2+2x216=29
9(x2+2x)=216×2
9x2+18x=432
9x
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