Stu hiked a trail at an average rate of 3 miles per hour. He ran back on the same trail at an average rate of 5 miles per hour. He traveled for a total of 3 hours.Which equation can be used to find the time it took Stu to hike the trail?

3t = 5
3t = 5(3 – t)
3 + t = 5 + (3 – t)
3t + 5(3 – t) = 3

Answer:

The correct answer:

B.) 3t = 5(3 – t)

Step-by-step explanation:

Drag each tile to the correct cell in the table.

Trip to end of trail — 3,   t,   3t

Trip back — 5,   3 - t,   5(3 - t)

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Final answer:

For a problem involving distance, rate, and time, the equation 3t + 5(3 - t) = 3 can be used to find the time it took for Stu to hike the trail. In it, 't' is the time hiking, and the equation represents the total distance he traveled set equal to his total travel time

Explanation:

For this kind of problem, it is key to remember that distance is equal to speed times time (this is often stated as distance = rate x time or d = rt). In this case, you need to find the time it took Stu to hike the trail. As Stu hiked at an average rate of 3 miles/hour and ran at a faster speed of 5 miles/hour, we can create the equation in terms of 't', where 't' is the time it takes to hike.

Because the total time he was traveling (hiking and running) is 3 hours, the correct equation is 3t + 5(3 – t) = 3. This equation represents the distance that Stu hiked (3t) plus the distance that he ran (5 times the remaining time), equaling the total distance that he traveled. To solve for 't', you would set these two terms equal to the total travel time of 3 hours.

Learn more about Rate, Time and Distance here:

brainly.com/question/35683374

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