Question

A woman can bicycle 104 miles in the same time as it takes her to walk 24 miles. She can ride 10 mph faster than she can walk. How fast can she walk?

Using r as your variable to represent the rate at which she walks, write an equation using the information as it is given above that can be used to solve this problem.
Equation:
She walks
mph

Answer 1

She walks at 3 mph.

Explanation:

Time to bicycle 104 miles: t

Time to walk 24 miles: t

Bicycle distance: 104

Walking distance: 24

Walking speed: r

Bicycle speed: r + 10

speed = distance/time

distance = speed × time

Bicycle:

104 = (r + 10)t

Walking:

24 = rt

104 = rt + 10t

rt = 24

104 = 24 + 10t

80 = 10t

t = 24/r

80 = 10 × 24/r

80 = 240/r

80r = 240

r = 240/80

r = 3

Answer: She walks at 3 mph.