SOLUTION: Jill was going to meet Maria at the bus depot. If she went during rush hour, she traveled 15 mph and would arrive 1 hour later. If she went after rush hour, she traveled 30 mph and

Question 454984: Jill was going to meet Maria at the bus depot. If she went during rush hour, she traveled 15 mph and would arrive 1 hour later. If she went after rush hour, she traveled 30 mph and arrived an hour early.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Jill was going to meet Maria at the bus depot.
If she went during rush hour, she traveled 15 mph and would arrive 1 hour later.
If she went after rush hour, she traveled 30 mph and arrived an hour early.
:
Assume we are solving for the distance to bus station and the travel time to arrive on time
:
Let d = distance to the bus station
Let t = travel time to arrive on time
:
Write a distance equation for each scenario, arrange equations for elimination
Late:
15(t+1) = d
15t + 15 = d
15t - d = -15
:
Early
30(t-1) = d
30t - 30 = d
30t - d = 30
:
Subtract the 1st equation from the above equation
30t - d = 30
15t - d = -15
-----------------Subtraction eliminates d, find t
15t = 45
t =
t = 3 hrs to get there on time
:
Find the distance using d = 15(t+1)
d = 15(3 + 1)
d = 15(4)
d = 60 mi to the bus station
:
Confirm this using d = 30(t-1)
d = 30(3-1)
d = 60 mi also
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