Question 1148284
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.