I don't have a close about this question !!!!!!!! It takes you 3 hours to drive to a concert 135 miles away. You drive 55 miles per hour on highways and 40 miles per hour on the rest of the roads. How many miles do you drive on highways? The rest of the road?
55 t + 40 (3-t) = 135
55 t +120 - 40 t = 135
15 t = 15
t = 1 hour at 55 so 55 miles on highway
2 hours at 40 = 80 miles on dirt
To find out how many miles you drive on highways and the rest of the road, you need to calculate the time it takes you to cover the respective distances.
Let's start by finding out the time you spend driving on highways. To do this, divide the total distance you need to cover (135 miles) by your speed on highways (55 miles per hour):
Time spent on highways = Distance / Speed = 135 miles / 55 miles per hour
To determine the time spent driving on the rest of the roads, you need to find the time it takes to travel the remaining distance at the given speed. Since you know the total travel time is 3 hours and the time spent on highways, subtract the time on highways from the total travel time:
Time spent on rest of the roads = Total travel time - Time spent on highways = 3 hours - Time spent on highways
Now, to calculate the time spent on the rest of the roads, divide the remaining distance (135 miles - distance on highways) by the speed on the rest of the roads (40 miles per hour):
Time spent on rest of the road = (Remaining distance) / (Speed on rest of the road) = (135 miles - distance on highways) / 40 miles per hour
Finally, you can substitute the values and solve for distance on highways and the rest of the road:
Distance on highways = 135 miles - distance on rest of the road
Distance on rest of the road = 135 miles - distance on highways
By following these steps, you can find the specific distances you drive on highways and the rest of the roads.