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A biker’s speed is 1.5 times faster than a walker’s speed. They start moving simultaneously 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?

2 Answers

2 votes

Answer:

Biker: 25

Walker: 16.67

User Midhun Pottammal
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4 votes

Answer : The speed of walker and biker is, 16.67 mile/hr and 25.005 mile/hr respectively.

Step-by-step explanation :

Let the walker’s speed be, 'x'

So, the biker’s speed will be, 1.5x

Given:

Time = 1.5 hours

Distance between walker and biker = 12.5 miles

As we know that,


Distance=Speed* Time

The distance covered by walker =
(x)* 1.5=1.5x

The distance covered by biker =
(1.5x)* 1.5=(1.5)^2x

Distance between walker and biker = 12.5 miles

So,


(1.5)^2x-1.5x=12.5


2.25x-1.5x=12.5


0.75x=12.5


x=(12.5)/(0.75)


x=16.67

Thus, the walker’s speed = x = 16.67 mile/hr

The biker's speed = 1.5x = 1.5(16.67) mile/hr = 25.005 mile/hr

User Dumi Jay
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8.4k points