Question

Amanda and Alexis live 4 miles apart. They decide to start walking toward each other’s houses at the same time. Amanda walks at a rate of 3.5 miles per hour and Alexis walks at a rate of 4 miles per hour. How long will it take for them to meet? Round to the nearest hundredth of an hour. [Remember: D = (r)(t)]

Answer 1

Start with he equation
3.5t + 4t = 4 - I did this since the walked the same amount of time and the total distanace covered was 4 miles
7.5t = 4
t = 0.53 hours

Answer 2

It will take 0.53 hours to meet.

Explanation:

Amanda and Alexis live 4 miles apart.

Distance between them = 4 miles.

Amanda walks at a rate of 3.5 miles per hour and Alexis walks at a rate of 4 miles per hour.

Speed of Amanda = 3.5 mph

Speed of Alexis = 4 mph

Let the time of meeting be t.

We have total distance traveled when they meet = 4

3.5 t + 4 t = 4

7.5t = 4

t = 0.53 hours

It will take 0.53 hours to meet.