Issa is driving to the airport to catch a flight to miami, and her arrival depoends 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 in hours. 60(t-1) = 35t What is the distance, in miles, from Issa's house to the airport?
I came up with the answer of 2.4 miles; however, that is not one of my options.
1.4 miles
84 miles
60 miles
109 miles
Plese solve and explain where I went wrong.
60(t-1) = 35t
60t-60 = 35t
60t-35t = 60
25t = 60
t = 2.4 Hours. NOT 2.4Miles.
d = 35*2.4 = 84 Mi.
To find the distance from Issa's house to the airport, we can set up an equation using the given information.
Let's break down the equation: 60(t-1) = 35t
The left side of the equation represents the distance traveled at 60 mph, which is 60 times the time (t) minus 1 hour (since Issa arrives 1 hour early).
The right side of the equation represents the distance traveled at 35 mph.
To solve for t, we need to simplify and solve the equation:
60t - 60 = 35t
Combining like terms:
60t - 35t = 60
25t = 60
Dividing both sides by 25 to isolate t:
t = 60 / 25
t = 2.4
Therefore, the driving time required is 2.4 hours.
Now, to find the distance from Issa's house to the airport, we can use either the distance traveled at 60 mph or 35 mph, since both will give us the same distance.
Using the distance traveled at 35 mph:
Distance = Speed × Time
Distance = 35 mph × 2.4 hours
Distance = 84 miles
So, the correct answer is 84 miles, which matches one of the options provided. If you obtained a different answer, please double-check your calculations.