Problema Solution
At noon, your family starts out from Louisville to go to Memphis driving at 40 mi/h. Your uncle leaves Memphis to come to louisville two hours later. He is taking the same route and driving at 60 mi/h. The two cities are 380 miles apart. At what time do the cars meet?
Answer provided by our tutors
The first car has traveled for an amount of time, t, at 40 mph, so the distance they have traveled at any time is 40t.
The second car has traveled an amount of time, t - 2, at 60 mph, so the distance they have traveled at any time is 60(t - 2) or 60t - 120.
Adding these two distances together, you want them to add up to 380, so
40t + 60t - 120 = 380
100t = 500
t = 5 hours
Since t started at noon & lasted 5 hours, the time they meet is 5pm