a person travels a total distance of 360km by a car.he covers the first half at the speed of 60km h-1 and theother half at 45km h-1 find (a) the total time taken to complete the entire jourey (b) average speed of the car
Answers
Answer:
We can use the formula:
average speed = total distance / total time
To solve the problem, we need to first calculate the distance traveled at each speed:
Distance traveled at 60 km/h = 360 km / 2 = 180 km
Distance traveled at 45 km/h = 360 km / 2 = 180 km
We can now calculate the time taken to travel each distance using the formula:
time = distance / speed
Time taken to travel 180 km at 60 km/h = 180 km / 60 km/h = 3 hours
Time taken to travel 180 km at 45 km/h = 180 km / 45 km/h = 4 hours
The total time taken to complete the entire journey is the sum of the times taken to travel each half:
total time = 3 hours + 4 hours = 7 hours
The average speed of the car is the total distance divided by the total time:
average speed = 360 km / 7 hours ≈ 51.43 km/h
Therefore, the total time taken to complete the entire journey is 7 hours and the average speed of the car is approximately 51.43 km/h.