SOLUTION: Rasa drives a bus 150 miles between two connecting cities. During to hazardous road conditions during a recent winter storm, Rasa reduced her rate by 10 mph and safely transported

Question 960627: Rasa drives a bus 150 miles between two connecting cities. During to hazardous road conditions during a recent winter storm, Rasa reduced her rate by 10 mph and safely transported her passengers to their destination 30 minutes later than their scheduled arrival time. What is Rasa�s normal rate of travel? How long did it take for her to complete the trip during the recent storm?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
t, expected time
r, expected speed

________________________speed___________time_________distance
Expected________________r_______________t____________150
Actual__________________r-10____________t+1/2_________150

The question is to find r and t+30.
30 minutes is hour.

RT=D Uniform Travel Rates Rule.
Setup two equations in r and t, and solve.

Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
Rasa drives a bus 150 miles between two connecting cities. During to hazardous road conditions during a recent winter storm, Rasa reduced her rate by 10 mph and safely transported her passengers to their destination 30 minutes later than their scheduled arrival time. What is Rasa�s normal rate of travel? How long did it take for her to complete the trip during the recent storm?

Let normal speed be S
Then normal time =
On this day, her speed was: S � 10, and she took hours to get to her destination
We then get: ________
150(2)(S � 10) = 150(2S) � S(S � 10) --------- Multiplying by LCD, 2S(S � 10)

(S - 60)(S + 50) = 0
Normal speed, or S = mph OR S = - 50 (ignore)
Time taken to complete trip: , or , or hours
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