carl the rideshare driver drove 55 miles per hour the first part of the trip. he was behind schedule, so he drove 70 miles per hour the second part of the trip. the trip was a total of 30 miles.

Question

carl the rideshare driver drove 55 miles per hour the first part of the trip. he was behind schedule, so he drove 70 miles per hour the second part of the trip. the trip was a total of 30 miles.

x = the time of the first part of the trip
y = the time of the second part of the trip
Write an equation in standard form that represents the situation.
pls help me :(

Answer 1

Distance of first part of trip = 55x

distance of 2nd part of trip = 70y

55x + 70y = 30

more information is needed to complete the question.
As it stands there would be an infinite number of solutions.
e.g. suppose he drove 12 minutes at 55 mph
distance = 1/5(55) miles = 11 miles
then 11 + 70y = 30
70y = 19
y = 19/70 hours = appr 16.3 minutes

btw, there would be restrictions: Suppose he drove the whole distance
at 55 mph, then x would be 0.545.. , and there would be no time
left to go at 70 mph.

so x < .545 , similarly y < 30/70 hours or y < 0.429 which happen to be the
x and y intercept values of the equation.

Answer 2

i forgot to add the other part of the question;

find the slope and describe its meaning

Answer 3

To write an equation in standard form that represents the situation, we need to break down the trip into two parts and consider the relationship between the distance, speed, and time for each part.

Let's first consider the distance covered in the first part of the trip. We are given that Carl drove at a speed of 55 miles per hour during this part. Let's denote the time taken for the first part as 'x'. Since distance equals speed multiplied by time, the distance covered in the first part can be expressed as:

Distance of the first part = Speed x Time = 55x

Next, let's consider the distance covered in the second part of the trip. We are given that the speed during this part was 70 miles per hour. The time taken for the second part can be denoted as 'y'. Using the same logic as before, the distance covered in the second part can be expressed as:

Distance of the second part = Speed x Time = 70y

Now, the total distance of the trip is given as 30 miles. Therefore, we can set up the equation:

Distance of the first part + Distance of the second part = Total distance
55x + 70y = 30

This equation in standard form represents the situation.