Ask Question
16 December, 23:04

Wo cyclists, 72 miles apart, start riding toward each other at the same time. One cycles 2 times as fast as the other. If they meet 4 hours later, what is the speed (in mi/h) of the faster cyclist?

a. 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.

+4
Answers (2)
  1. 16 December, 23:07
    0
    The faster cyclist is 12 m/h

    The slower cyclist is 6 m/h

    4r + 8r = 72miles

    Step-by-step explanation:

    The speed of the slower cyclist is r (mph)

    The speed of the faster cyclist is 2*r (mph) because he is going 2 times faster than the slower cyclist. Now we know that both start at the same time and after 4 hours of riding they meet each other.

    So the distance can be calculated by the next equation:

    distance (miles) = velocity (mph) * time (hours)

    Slower cyclist:

    To get the Distance of the slower cyclist we have to substitute the information we have:

    distance = r * 4 hours

    distance = 4r

    Faster cyclist:

    To get the Distance of the faster cyclist we have to substitute the information of the faster cyclist in the equation:

    distance = 2r * 4 hours

    distance = 8r

    Now we know that adding the distance of both cyclists will be 72 miles because that is when both meet after the 4 hours.

    So we have the equation:

    (distance of the slower cyclist) + (distance of the faster cyclist) = 72

    If we substitute:

    4r + 8r = 72miles

    if we solve by adding:

    12r = 72 miles

    Now we just have to leave the r alone so we send the 12 to the other side to divide:

    r = 72/12

    r = 6 m/h this is the speed of the slower cyclist,

    To get the speed of the faster cyclist we will have to multiply the speed of the slower time 2 because he is going 2 times faster.

    2r = speed of the faster cyclist

    2 * (6) = 12m/h
  2. 16 December, 23:28
    0
    the faster cyclist was going 18 mph

    the slower cyclist was going 9 mph

    Step-by-step explanation:

    72 : 4 = 18

    18 : 2 = 9
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Wo cyclists, 72 miles apart, start riding toward each other at the same time. One cycles 2 times as fast as the other. If they meet 4 hours ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers