Two cyclists, 81 miles apart, start riding toward each other at the same time. One cycles 2 times as fast as the other. If they meet 3 hours later, what is the speed (in mi/h) of the faster cyclist?
. Write an equation using the information as it is given above that can be solved to answer this problem. Use the variable r to represent the speed of the slower cyclist.
b. What is the speed of the faster cyclist?
mi/hr
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Given : Two cyclists, 81 miles apart, start riding toward each other at the same time. One cycles 2 times as fast as the other.
They meet 3 hours later,
To Find : what is the speed (in mi/h) of the faster cyclist
Solution:
speed of the slower cyclist. = r mi/hr
speed of the faster cyclist. = 2r mi/hr
riding toward each other
Hence effective speed = r + 2r = 3r mi/hr
Distance = Speed * Time
=> 81 = 3r * 3
=> r = 9
and 2r = 18
speed of the slower cyclist. = 9 mi/hr
speed of the faster cyclist. = 18 mi/hr
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