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A truck driver travels three-fourths of the distance of his run at constant velocity v and then travels the remaining distance at velocity V/2.what was the truckers average speed for the trip?
Most Upvoted Answer
A truck driver travels three-fourths of the distance of his run at con...
Explanation:
To find the average speed of the truck driver, we need to use the formula:
Average speed = Total distance / Total time
Step 1: Finding the total distance
Let's assume that the total distance of the run is "d" units.
According to the problem, the truck driver travels three-fourths of the distance at velocity "v". Therefore, the distance covered at velocity "v" is:
Distance covered at velocity "v" = 3d/4
Similarly, the remaining distance is covered at velocity "V/2". Therefore, the distance covered at velocity "V/2" is:
Distance covered at velocity "V/2" = d/4
Total distance covered = Distance covered at velocity "v" + Distance covered at velocity "V/2"
Total distance covered = 3d/4 + d/4
Total distance covered = d
Therefore, the total distance covered by the truck driver is "d" units.
Step 2: Finding the total time taken
Let's assume that the time taken to cover three-fourths of the distance at velocity "v" is "t1" and the time taken to cover the remaining distance at velocity "V/2" is "t2".
According to the problem, the truck driver travels three-fourths of the distance at constant velocity "v". Therefore, the time taken to cover this distance is:
Time taken to cover three-fourths of the distance = Distance / Velocity
Time taken to cover three-fourths of the distance = (3d/4) / v
Time taken to cover three-fourths of the distance = 3d / 4v
Similarly, the remaining distance is covered at velocity "V/2". Therefore, the time taken to cover this distance is:
Time taken to cover remaining distance = Distance / Velocity
Time taken to cover remaining distance = (d/4) / (V/2)
Time taken to cover remaining distance = d / 2V
Total time taken = Time taken to cover three-fourths of the distance + Time taken to cover remaining distance
Total time taken = 3d/4v + d/2V
Step 3: Finding the average speed
Now, we can use the formula to find the average speed:
Average speed = Total distance / Total time
Average speed = d / (3d/4v + d/2V)
Multiplying both numerator and denominator by 4v, we get:
Average speed = d / (3d + 2d)
Average speed = d / 5d/2
Average speed = 2v/5
Therefore, the average speed of the truck driver is 2v/5 units.
Community Answer
A truck driver travels three-fourths of the distance of his run at con...
V+(v/2)÷2=. 0.75v
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A truck driver travels three-fourths of the distance of his run at constant velocity v and then travels the remaining distance at velocity V/2.what was the truckers average speed for the trip?
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A truck driver travels three-fourths of the distance of his run at constant velocity v and then travels the remaining distance at velocity V/2.what was the truckers average speed for the trip? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A truck driver travels three-fourths of the distance of his run at constant velocity v and then travels the remaining distance at velocity V/2.what was the truckers average speed for the trip? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A truck driver travels three-fourths of the distance of his run at constant velocity v and then travels the remaining distance at velocity V/2.what was the truckers average speed for the trip?.
A truck driver travels three-fourths of the distance of his run at constant velocity v and then travels the remaining distance at velocity V/2.what was the truckers average speed for the trip? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A truck driver travels three-fourths of the distance of his run at constant velocity v and then travels the remaining distance at velocity V/2.what was the truckers average speed for the trip? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A truck driver travels three-fourths of the distance of his run at constant velocity v and then travels the remaining distance at velocity V/2.what was the truckers average speed for the trip?.
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