SOLUTION: A man walks from one town to another in 5 hours. Had he walked of a kilometer faster, he would have reached his destination 36 minutes earlier. Find the distance between the two to

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Question 347465: A man walks from one town to another in 5 hours. Had he walked of a kilometer faster, he would have reached his destination 36 minutes earlier. Find the distance between the two towns and the rate at which he walked.
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
Let the speed at which the man traveled be x

Let his speed had he walked a kilometres faster be y

y = x+1.............Equation(1)

5x = 4.4y...........Equation(2)

Sub y in (2),

5x=4.4(x+1)

5x=4.4x+4.4

0.6x=4.4

x=22/3 km/h

D=ST

D=5*22/3

D=110/3 km

Therefore, he walked at a rate of approximately 7.3 km/h and traveled a

distance of approximately 36.7 km