at noon your family starts out fo louisville to o to ephis d

at noon your family starts out fo louisville to o to ephis driving at 40 mph. your uncle leaves memphis to come to louisville two hours later.he is taking the same route and driving at 60 mph. the two cities ae 380 miles apart. at what time do the cars meet?

Solution

Let T be the number of hours past noon the two cars meet.
We know that the first car travels 40*T (D=R*T) miles when the two cars meet.
The second car will have traveled 60*(T-2) hours when the two cars meet.
The total distance traveled by both cars will be 380 miles so:
40*T + 60*(T-2) = 380
100*T - 120 = 380
100*T = 500
T = 5
Time they meet is 5:00p.