Linda headed east at 20 miles per hour on her bicycle at 9 a. m. Three hours later Shanna headed west from the same place, walking at 6 miles per hour. What time was it when they were 164 miles apart?

Step-by-step explanation:

Let t = time (in hrs) Linda rode her bike

Then (t-3) = Shana's time walking

:

Write a distance equation: dist = speed * time

:

Linda's dist + Shana's dist = 164

20t + 6(t-3) = 164

20t + 6t - 18 = 164

26t = 164 + 18

26t = 182

t = 182/26

t = 7 hrs, Linda is on the road

:

Time: 9 AM + 7 hrs = 4 PM, they will be 162 miles apart

:

Check using Linda's and Shana's distances:

20(7) + 6(7-3) =

140 + 24 = 164 mi

step-by-step explanation: