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Allison drove home at 58 mph, but her brother Austin, who left at the same time, could drive at only 40 mph. When Allison arrived, Austin still had 90 miles to go. How far did
Allison drive?
......miles

Respuesta :

Answer: 290 miles

Step-by-step explanation:

Given

Allison drove with a speed of 58 mph

Austin drove with a speed of 40 mph

If both start at the same time

suppose Allison takes t hours to reach the destination. So, the difference between the distance traveled in t hours is 90 miles

[tex]\Rightarrow 58t-40t=90\\\Rightarrow 18t=90\\\Rightarrow t=5\ hr[/tex]

Distance traveled by Allison is [tex]58\times 5=290\ miles[/tex]

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