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Average speed of a car between points A and B is 20 m/s, between B and C is 15 m/s, between C and D is 10 m/s. What is the average speed between A and D, if the time taken in the mentioned sections is 20s, 10s and 5s respectively?
  • a)
    17.14 m/s
  • b)
    15 m/s
  • c)
    10 m/s
  • d)
    45 m/s
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Average speed of a car between points A and B is 20 m/s, between B and...
Average speed is the total distance divided by total time taken. Total displacement (d = vt) = 20×20 + 15×10 + 10×5 = 600 m. Total time = 20 + 10 + 5 = 35 s. Therefore, average speed = 600/35 = 17.14 m/s.
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Average speed of a car between points A and B is 20 m/s, between B and...


Calculation of Average Speed

Average speed is calculated by total distance traveled divided by total time taken.

Given Data

- Speed between A and B = 20 m/s, time taken = 20s
- Speed between B and C = 15 m/s, time taken = 10s
- Speed between C and D = 10 m/s, time taken = 5s

Calculations

- Distance between A and B = 20 m/s * 20s = 400m
- Distance between B and C = 15 m/s * 10s = 150m
- Distance between C and D = 10 m/s * 5s = 50m

Total distance = 400m + 150m + 50m = 600m
Total time = 20s + 10s + 5s = 35s

Average speed = Total distance / Total time = 600m / 35s ≈ 17.14 m/s

Therefore, the average speed between points A and D is approximately 17.14 m/s, which corresponds to option A.
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Average speed of a car between points A and B is 20 m/s, between B and C is 15 m/s, between C and D is 10 m/s. What is the average speed between A and D, if the time taken in the mentioned sections is 20s, 10s and 5s respectively?a)17.14 m/sb)15 m/sc)10 m/sd)45 m/sCorrect answer is option 'A'. Can you explain this answer?
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