Issa IS driving to the airport to catch a flight to Miami, and Her arrival depends on traffic. If the traffic is light, then she can drive 60 mph and arrive at the airport 1 hour early. If traffic is heavy, she can drive 35 mph and arrive at the airport on time. The equation below models this situation, where t represents Issa's driving time hours. 60(t - 1) = 35t What is the distance, in miles, from Issa's house to the airport?
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To find the distance from Issa's house to the airport, we need to solve the equation 60(t - 1) = 35t, where t represents Issa's driving time in hours.
To solve the equation, we can start by distributing the 60 on the left side of the equation:
60t - 60 = 35t
Next, we can rearrange the equation by subtracting 35t from both sides:
60t - 35t - 60 = 0
Simplifying the equation gives us:
25t - 60 = 0
Now, we can isolate the variable t by adding 60 to both sides:
25t = 60
Finally, we can solve for t by dividing both sides by 25:
t = 60/25
t = 2.4
So, Issa's driving time is 2.4 hours.
To find the distance, we can use one of the given driving speeds. If the traffic is light, Issa can drive 60 mph. Therefore, the distance from Issa's house to the airport is:
Distance = Speed × Time
Distance = 60 mph × 2.4 hours
Distance = 144 miles
So, the distance from Issa's house to the airport is 144 miles.