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15 November, 03:27

Lois rode her bike to visit a friend. she traveled at 10 mi/h. Her friend drove her home in a car traveling at 25 mi/h. Lois took 1.5 hours longer to go to her friend's than to return home. How many hours did it take Lois to ride to her friend's house?

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  1. 15 November, 05:21
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    Speed of Lois' bike = 10 miles/h

    Speed of Lois' friend's car = 25 miles/h

    Time taken by Lois to reach via car = t hours

    Time taken by Lois to reach via bike = 1.5 + t

    We know that the distance traveled in both the cases is the same

    Hence, distance traveled by car = distance traveled by bike

    ⇒ Speed of car * time taken by car = Speed of bike * time taken by bike

    ⇒ 25 * t = 10 * (t+1.5)

    ⇒ 25t = 10t + 15

    ⇒ 15t = 15

    ⇒ t = 1

    Hence, Lois took t + 1.5, i. e. 2.5 hours to reach his friend's house.
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