Shannon’s mini-van travels 30 mph faster than Chris’ Harley. In the same time it takes Chris to travel 75 mile?
Distance / Speed / Time. The formula d = rt is used to measure distance (d) which is equal to rate (r) times time (t).
Use this formula to set up and solve the following problem.
Shannon’s mini-van travels 30 mph faster than Chris’ Harley. In the same time it takes Chris to travel 75 miles, Shannon travels 120 miles.
a. Fill in the chart below for Distance Speed and Time (example in textbook on page 464-465)
Shannon's
Distance:
Speed:
Time:
Chris's
Distance:
Speed:
Time:
b. information above to find the speed of the two vehicles.
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Verified answer
Let Chris speed be x mph
Shannon's speed = ( x+30) mph
Time taken = distance / speed = 75 / x = 120 / ( x+30)
CROSS MULTIPLY
120x = 75x + 75*30
45x = 75*30
x = 75*30 /45 = 75 X 2/3 = 50mph
ANSWER Chris = 50 mph Shannon = 80 mph
CHECK
75/50 = 1.5 hours
120/80 = 1.5 hours