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,
[tex]Distance=Speed\times Time[/tex]
The distance covered by walker = [tex](x)\times 1.5=1.5x[/tex]
The distance covered by biker = [tex](1.5x)\times 1.5=(1.5)^2x[/tex]
Distance between walker and biker = 12.5 miles
So,
[tex](1.5)^2x-1.5x=12.5[/tex]
[tex]2.25x-1.5x=12.5[/tex]
[tex]0.75x=12.5[/tex]
[tex]x=\frac{12.5}{0.75}[/tex]
[tex]x=16.67[/tex]
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
