50 POINTS PLUS 20 THANKS, AND BRAINLIEST HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP! Two freight trucks are traveling to the same destination, and each are traveling at a constant speed. Truck A is 187 miles away from its destination at 9 a. m., one hour after leaving from its origin, and is 99 miles away from the destination at 10:36 a. m. Truck B started traveling to its destination at 6:30 a. m. Truck B is 248 miles away at 8:30 a. m. and 155 miles away at 10 a. m. Analyze each situation to determine a function that finds the distance to the destination for each truck based on the time in hours after starting the trip from the origin to the destination. Then use the functions to determine which truck will arrive first to its destination.

The distance traveled by John is 240 miles.

Step-by-step explanation:John took a drive to town at an average rate of 40 mph. In the evening, he drove back at 30 mph. If he spent a total of 7 hours traveling, what is the distance traveled by John?

Solution:

Step 1: Set up a rtd table.

r

t

d

Case 1

Case 2

Step 2: Fill in the table with information given in the question.

John took a drive to town at an average rate of 40 mph. In the evening, he drove back at 30 mph. If he spent a total of 7 hours traveling, what is the distance traveled by John?

Let t = time to travel to town.

7 – t = time to return from town.

r

t

d

Case 1

40

t

Case 2

30

7 – t

Step 3: Fill in the values for d using the formula d = rt

r

t

d

Case 1

40

t

40t

Case 2

30

7 – t

30(7 – t)

Step 4: Since the distances traveled in both cases are the same, we get the equation:

40t = 30(7 – t)

Use distributive property

40t = 210 – 30t

Isolate variable t

40t + 30t = 210

70t = 210

210/70

Step 5: The distance traveled by John to town is

40t = 120

The distance traveled by John to go back is also 120

So, the total distance traveled by John is 240

he traveled 240 miles

Step-by-step explanation:

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