If Cathy walks for 2h and rides bike for 1 h, she can travel 36 km. If she walks for 2h an rides her bike for 2h , she can travel 56 km. How fast can she walk? how fast can she ride her bike?
( let w represent walking an b represent biking)
A. write a system of equations
B. solve the system.
C. state the answer with the proper label or labels.
1). 2w + b = 36
2). 2w + 2b = 56
using 1). solve for b
1a). b = 36 - 2w
substitute into 2). 2w + 2(36 - 2w) = 56
2w + 72 - 4w = 56
-2w = -16
w = 8 substitute this into
equation 1). 2*8 + b = 36
16 + b = 36
b = 20
therefore, she walked 8 miles per hour and rode her bike at 20 miles per hour.