SOLUTION: A bus and a cyclist leave a school at 8 am and head for a stadium 90mi away. The rate of the bus is three times the rate of the cyclist. The cyclist arrives 4h after the bus. Find

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A bus and a cyclist leave a school at 8 am and head for a stadium 90mi away. The rate of the bus is three times the rate of the cyclist. The cyclist arrives 4h after the bus. Find       Log On

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Question 204475This question is from textbook intermediate algebra
: A bus and a cyclist leave a school at 8 am and head for a stadium 90mi away. The rate of the bus is three times the rate of the cyclist. The cyclist arrives 4h after the bus. Find the rate of the bus This question is from textbook intermediate algebra

Answer by alicealc(293) About Me  (Show Source):
You can put this solution on YOUR website!
rate of the bus = B
rate of the cyclist = C
distance traveled = 90 miles
time taken by the bus = 90/B
time taken by the cyclist = 90/C

B = 3C
90/C = 4 + 90/B
90/C = 4 + 90/(3C)
90/C = 4 + 30/C
90/C - 30/C =4
60/C = 4
C = 60/4 = 15
B = 3C = 3*15 = 45

so,the rate of the bus is 45 miles/hour