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.
x = 55 * 15
y = 70 * 15
To write the equation in standard form, let's first break down the information given:
1. Carl drove 55 miles per hour during the first part of the trip.
2. He was behind schedule, so he drove 70 miles per hour during the second part of the trip.
3. The total distance of the trip is 30 miles.
Now let's set up the equation using the formula: Distance = Speed * Time.
For the first part of the trip, we have:
Distance of the first part of the trip = Speed * Time
55x = distance of the first part of the trip
For the second part of the trip, we have:
Distance of the second part of the trip = Speed * Time
70y = distance of the second part of the trip
As the total distance of the trip is 30 miles, we can set up the following equation:
distance of the first part of the trip + distance of the second part of the trip = total distance
55x + 70y = 30
Therefore, the equation in standard form that represents the situation is:
55x + 70y = 30.