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)