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)]
Two boxes, one with Amanda and 3.5 m p h. To the right is the other box with Alexis and 4 m p h. Below, the boxes there is a bracket, halfway between, pointing to 4 miles.
hour

Answer 1

Answer:

t = 0.53 hr

Step-by-step explanation:

We write expressions for the distances walked by these two people, sum them up and set the sum equal to 4 miles:

(3.5 mph)(t) + (4mph)(t) = 4 mi

Combining these terms:  

(7.5 mph)(t) = 4 mi

                               4 mi

Solving for t:  t = ---------------- = 0.53 hr

                              7.5 mph