Fan and Medal
If Cathy walks for 2 h and rides her bicycle for 1 h, she can travel 36 km. If she walks for 2 h and rides her bicycle for 2h, she can travel 56 km. How fast can she walk? How fast can she ride her bicycle?

Let w represent walking and b represent biking.
A. Write a system of equations.

B. Solve the system.

C. State the answers with the proper label or labels.

Question

Fan and Medal
If Cathy walks for 2 h and rides her bicycle for 1 h, she can travel 36 km. If she walks for 2 h and rides her bicycle for 2h, she can travel 56 km. How fast can she walk? How fast can she ride her bicycle?


Let w represent walking and b represent biking.  
A.  Write a system of equations.


B.  Solve the system. 


C.  State the answers with the proper label or labels.

tootsi123 · Answer

I would say A because you can't really solve this problem without an equation.

anonymous · Answer

2x+y=36
2x+2y=56

tootsi123 · Answer

do you need to solve it to?

anonymous · Answer

yes

anonymous · Answer

2x+y=36        
2x+2y=56

Y=36-2x

2x+2(36-2x)=56
2x+72-4x=56
-2x=-16
X=8

Y=36-2(8)
Y=20

So X=8 and Y=20

anonymous · Answer

She can walk 8 km fast and ride 20 km fast