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 in hours. 60(t-1) = 35t What is the distance, in miles, from Issa's hourse to the airport?
Please explain to solve. Thanks
solve for t: t=12/5
so, how far can she drive in 12/5 hours at 35mph?
It'll be the same as she can drive in 7/5 hours at 60 mph.
To solve the equation and find the distance from Issa's house to the airport, we need to first simplify the equation by distributing the 60 to t-1.
60(t-1) = 35t
When we distribute the 60, the equation becomes:
60t - 60 = 35t
Next, we can simplify the equation by combining like terms.
To do this, we move the 35t to the left side and the -60 to the right side by adding 60 to both sides of the equation:
60t - 35t = 60
This simplifies to:
25t = 60
To isolate t on one side of the equation, we divide both sides by 25:
25t/25 = 60/25
This simplifies to:
t = 2.4
So Issa's driving time is 2.4 hours.
To find the distance from Issa's house to the airport, we can substitute the value of t in either side of the equation. Let's use the equation 60(t-1) = 35t:
60(2.4 - 1) = 35(2.4)
Simplify the equation:
60(1.4) = 35(2.4)
Calculate:
84 = 84
Therefore, the distance from Issa's house to the airport is 84 miles.