SOLUTION: A man travels 108km at a constant speed and finds that he could have made the journey 4.5 hours shorter if he had travelled 2km/h faster. What was his speed?

Question 754104: A man travels 108km at a constant speed and finds that he could have made the journey 4.5 hours shorter if he had travelled 2km/h faster. What was his speed?
Answer by blueplanet(7) (Show Source): You can put this solution on YOUR website!
Let the speed of the man be X. At this speed, the total time he takes to travel 108km is 108/X.
If he had travelled 2km/hour faster, his speed would have been X+2 km/hour. At this speed, he could have arrived at the destination 4.5 hours earlier. This means that the time taken to travel would have been 108/x -4.5 hours if his speed had been (X+2) km/hour.
So, according to the question, we have:
108/X - 4.5 = 108/ (X+2) ----------- (1)
Solving this equation, we get X = 6 or -4. So, his speed is 6km/hour.

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