Question

Link can ride his bike 20 miles into a 3 mph headwind and the same amount of time he can ride 30 miles with a 3 mph tailwind. What is Link’s biking be

Answer 1

Speed of Link bike is 15 mph

Solution:

When the bike moves with the wind, the wind increases its speed and the rate is r + 3

When the bike moves against the wind, the wind decreases its speed and the rate is r - 3

The time taken is given as:

$Time\ taken = speed \times distance$

Link can ride his bike 20 miles into a 3 mph headwind and the same amount of time he can ride 30 miles with a 3 mph tailwind

Therefore,

$20(r+3) = 30(r-3)\\\\20r + 60 = 30r - 90\\\\30r - 20r = 60+90\\\\10r = 150\\\\r = 15$

The speed of Link bike is 15 mph