3. A ear is going from point X to Y with the speed 45 km/hour and come back from point Y to X with thespeed 35 km/hour. Find the average speed of car.
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Answer:
39.375 km/h
Explanation:
As per the provided information information in the given question, we have :
- A car is going from point X to Y with the speed 45 km/hour and come back from point Y to X with the speed 35 km/hour.
We are asked to calculate the average speed of car.
Average speed of the car is the total distance travelled divided by total time.
Calculating total distance :
- Let us say that the distance from X to Y is d km.
As, the body goes from point X to Y and then comes back from Y to X. So,
⇒ Total distance travelled = XY + YX
⇒ Total distance travelled = (d + d) km
⇒ Total distance travelled = 2d km
∴ Total distance travelled is 2d km.
Calculating total time :
⇒ Total time taken = t₁ + t₂
- t₁ is time taken to cover the distance from X to Y.
- t₂ is time taken to cover the distance from Y to X.
- Time = Distance/Speed
∴ Total time taken is 16d/315 hours.
Calculating average speed :
∴ Average speed is 39.375 km/h.
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