SOLUTION: Two friends Ronald and Micheal live 200 miles apart. They plan to drive towards each other and meet somewhere between their houses. Ronald starts driving at 12:00 pm and drives 44

Question 1148284: Two friends Ronald and Micheal live 200 miles apart. They plan to drive towards each other and meet somewhere between their houses. Ronald starts driving at 12:00 pm and drives 44 mph towards Micheal. Micheal wants to finish his favorite daytime show before he gets on the road. He doesn't start driving until 1:00 pm. He drives 60mph to try to make up for lost time. What time do the two friends meet?
Found 2 solutions by Theo, MathTherapy:
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the distance between them is 200 miles.
ronald starts at 12:00 pm and drives 44 miles per hour.
michael starts at 1:00 pm and drives 60 miles per hour.

r * t = d
r = rate
t = time
d = distance

for ronald, the formula becomes 44 * t = 200 - x
for michael, the formula becomes 60 * (t - 1) = x
simplify michael's equation to get 60 * t - 60 = x

place all variables on the left and all constants on the right to get:
44 * t + x = 200
60 * t - x = 60

those two equations need to be solved simultaneously.

add the equations together to get:
104 * t = 260
the x cancels out in the addition.
divide both sides of the equation by 104 to get:
t = 260 / 104 = 2.5

ronald traveled for 260 / 104 = 2.5 hours at 44 miles per hour for a distance of 110 miles.
michael traveled for one hour less = 1.5 hours at 60 miles per hour for a distance of 90 miles.

ronald traveled for 2.5 hours starting at 12:00 pm = 2:30 pm
michael traveled for 1.5 hours starting 1:00 pm = 2:30 pm.

they met each other at 2:30 pm is what i have.

Answer by MathTherapy(10556) (Show Source): You can put this solution on YOUR website!

Two friends Ronald and Micheal live 200 miles apart. They plan to drive towards each other and meet somewhere between their houses. Ronald starts driving at 12:00 pm and drives 44 mph towards Micheal. Micheal wants to finish his favorite daytime show before he gets on the road. He doesn't start driving until 1:00 pm. He drives 60mph to try to make up for lost time. What time do the two friends meet?

Let time taken by Michael to meet, be T
Then time Ronald takes = T + 1
We then get the following DISTANCE equation: 60T + 44(T + 1) = 200
60T + 44T + 44 = 200
104T = 156
T, or time taken by Michael to meet =
Time they will meet:
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