SOLUTION: A motorcyclist and a cyclist travel from A to B. They leave simultaneously from A at 12 noon. The motorcyclist arrives at B after 1 ½ hours, and the cyclist arrives 30 minutes late

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Question 1011611: A motorcyclist and a cyclist travel from A to B. They leave simultaneously from A at 12 noon. The motorcyclist arrives at B after 1 ½ hours, and the cyclist arrives 30 minutes later. At what time was the cyclist twice as far from B as the motorcyclist was?
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
                    rate          time         distance

morotcyclist       d/(1&1/2)      1&1/2        d

cyclist            d/2            2            d


Compare their rates.
Motorcycle
Cyclist

At what time t was .....
                 rate           time        distance   Distance from B
mototcycl        (2/3)d          t          (2/3)dt    d-(2/3)dt
cycl             (1/2)d          t          (1/2)dt    d-((1/2)dt

When was cylcist twice as far from B as was motorcyclist?


That equation uses two unknown variables, d and t; and one of them will be found as factor on both members.



LCD is .







hours
1 hour 12 minutes

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