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18 votes
18 votes
A cyclists speed is 1.5 times faster than a walkers speed. they simultaneously start moving in the same direction from the same point and, after 1.5 hours, the distance between them is 12.5 miles. what are their speeds?

User Ivin
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2 Answers

26 votes
26 votes

Answer:The speed of the walker is 16.67 miles per hour.

The speed of the cyclist is 25 miles per hour.

How to calculate the value?

Let the speed of a walker = x

Biker's speed = 1.5x

Their relative speed will be:

= 1.5x - x = 0.5x

Distance between them = 12.5 miles

Time taken = 1.5 hours.

It should be noted that distance will be:

= Speed × Time

12.5 = 1.5 × 0.5x

Divide through to get x

12.5 = 0.75x

x = 16.67 miles per hour.

Speed of cyclist = 16.67 × 1.5 = 25 miles per hour.

User Jinzhao Huo
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2.6k points
15 votes
15 votes

Answer:

The biker's pace is 25 miles per hour and the walker's speed is 50/3 miles per hour.

User Paul Chavez
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2.8k points