Question

Write an equation for each scenario, then find the solution.5. You're making a Wawa run for snacks and energy drinks on your bike. It takes you0.4 hours at x miles per hour to make it to Wawa. On your way back you have toride 3 miles per hour slower (you're weighed down by your Wawa goodies) and ittakes you 0.5 hours. How far is it from your house to Wawa?6. Laura retired from her job recently, and she has saved about $500,000 over the

Answer 1

Let y represent the distance from your house to wawa. This means that the distance from wawa to your house is also y miles.

It takes you 0.4 hours at x miles per hour to make it to Wawa.

Distance = speed * time

Therefore, on your way to wawa, the expression would be

y = 0.4 * x = 0.4x

On your way back you have to ride 3 miles per hour slower. This means that your speed was (x - 3) miles per hour. Since it took you 0.5 hours, the expression for distance would be

y = 0.5(x - 3)

Since the distance is the same, it means that

0.4x = 0.5(x - 3)

0.4x = 0.5x - 1.5

0.5x - 0.4x = 1.5

0.1x = 1.5

x = 1.5/0.1

x = 15

Therefore,

y = 0.4x = 0.4 * 15

y = 6

The distance from your house to wawa is 6 miles