Answered

The distance traveled (d) varies directly as the time (t) of
travel, assuming the speed is constant. If it takes 63 min to
travel 70 mi, how many hours would it take to travel 180 mi?

Answer :

Answer:

2.70 hours to travel 180 mi.

Step-by-step explanation:

The distance traveled (d) varies directly as the time (t) of travel, by the following formula:

[tex]s = \frac{d}{t}[/tex]

In which s is the velocity.

It takes 63 min to travel 70 mi.

So i am going to find the velocity in miles per minute

[tex]s = \frac{70}{63} = 1.11[/tex]

how many hours would it take to travel 180 mi?

I am first going to find the time in minutes, then divide by 60 to pass to hours.

[tex]s = \frac{d}{t}[/tex]

[tex]st = d[/tex]

[tex]t = \frac{d}{s}[/tex]

[tex]t = \frac{180}{1.11}[/tex]

[tex]t = 162.16[/tex]

It takes 162.16 minutes = 162.16/60 = 2.70 hours to travel 180 mi.

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