Question

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?

Answer 1

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

Step-by-step explanation:

Suppose,

Walker's speed= x miles per hour

Since biker's speed is 1.5 times faster than the walker's speed, so

Biker's speed= 1.5x miles per hour

Distance traveled by the walker in 1.5 hours= speed*time= x*1.5=1.5x

Distance traveled by the biker in 1.5 hours= 1.5x*1.5=2.25x

According to the question,

2.25x-1.5x=12.5

0.75x=12.5

x=12.5/0.75= 50/3

So, the biker's speed= 1.5x=1.5*50/3= 25miles per hour

Answer 2

Answer:

16 2/3 is the walker's speed.

25 is the biker's speed.

Step-by-step explanation:

I made an equation. 0.5x=12.5 / 1.5

12.5/1.5 is equal to 8 1/3

8 1/3*2=16 2/3

x=16 2/3

16 2/3 *3/2=25

Walkers speed is 16 2/3

Biker's speed is 25