Question

Winston and Alice are taking a trip. Winston left at 8 am and traveled an average of 50 miles per hour. Alice left at 10 am and traveled an average of 70 miles per hour. At what time are they at the same place at the same time? Write a system of equation to represent this situation. Then use the substitution method with that system to determine at the time they will be in the same location. How many miles away from home will they be at that time?

Answer 1

Answer:

3 PM

350 miles

Step-by-step explanation:

Let's say t is the number of hours since 8 AM.

The distance traveled by Winston is:

w = 50t

The distance traveled by Alice is:

a = 70(t−2)

When w = a:

50t = 70(t−2)

50t = 70t − 140

140 = 20t

t = 7

Winston and Alice will be at the same place 7 hours after 8 AM, or 3 PM.

The distance they travel is 350 miles.