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valina [46]
3 years ago
13

Luke rides his bike to his aunt's house. He travels 10 mi/h. Because it starts to rain, Luke's aunt drives him home in a car tra

veling at 25 mi/h. It takes Luke 1.5 h longer to get to his aunt's house than to return home. How many hours did it take Luke to ride to his aunt's house?
Mathematics
1 answer:
aksik [14]3 years ago
4 0

Answer:

2.5 hours

Step-by-step explanation:

<em>Let t = time in hours for reach friend's house </em>

<em>(t-1.5) = time for friend to drive her home </em>

:

Both trips are the same distance, Write a distance equation from this fact:

<em>Distance = speed * time </em>

<em>Drive distance = Bike distance </em>

<u>Equation-</u>

<u>step1)</u>   25 (t-1.5) = 10t          (here u multiply 25 by t and 25 by 1.5)

<u>step2</u>)  25t - 37.5 = 10t        (move 37.5)          

<u>step3)</u>  25t - 10t = +37.5      (subtract 25t from 10t)

<u>step4</u>)  15t = 37.5                 (divide 37.5 by 15)

<u>step5</u>)  t = 2.5                     (time it took Luke to reach his aunt's house)

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S=  z (y-x)/(x+y)

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