A vehicle travels equal distances at 60km/h and 90km/h.calculate its average speed
formula for average speed=total distance/total time
A=[(60+90)km/h]/no time?
insufficient information
To calculate the average speed of the vehicle, we need to use the formula:
Average Speed = Total Distance / Total Time
Since the vehicle travels equal distances at 60 km/h and 90 km/h, we can assume that the distance is the same for both speeds.
Let's say the distance is D.
To find the total time, we need to calculate the time taken at each speed and sum them up.
Time at 60 km/h = Distance / Speed = D / 60
Time at 90 km/h = Distance / Speed = D / 90
Total Time = Time at 60 km/h + Time at 90 km/h = D / 60 + D / 90
To find the total distance, we can multiply the speed by the time:
Total Distance = (60 km/h) * (D / 60) + (90 km/h) * (D / 90)
Simplifying this expression:
Total Distance = D + D = 2D
Now, we can substitute the values into the formula for average speed:
Average Speed = Total Distance / Total Time
Average Speed = 2D / (D / 60 + D / 90)
To simplify further, we can find a common denominator:
Average Speed = 2D / ((3D + 2D) / (180))
Average Speed = 2D * (180) / (5D)
Canceling out the D:
Average Speed = 2 * 180 / 5
Therefore, the average speed of the vehicle is 72 km/h.
To calculate the average speed of a vehicle, you need to use the formula:
Average speed = Total distance / Total time
In this case, the vehicle travels equal distances at 60km/h and 90km/h. Let's assume the distance it travels is "d" kilometers.
When traveling at 60km/h, the time taken to travel distance "d" is given by:
Time 1 = Distance / Speed = d / 60
Similarly, when traveling at 90km/h, the time taken to travel the same distance "d" is given by:
Time 2 = Distance / Speed = d / 90
Total time taken for the entire journey is the sum of Time 1 and Time 2:
Total time = Time 1 + Time 2 = d / 60 + d / 90
Now, let's simplify the expression for the average speed:
Average speed = Total distance / Total time = 2d / (d / 60 + d / 90)
To solve this equation, we need to find a common denominator for 60 and 90, which is 180. Then, we can rewrite the equation as follows:
Average speed = 2d / [(d * 3 / 180) + (d * 2 / 180)]
= 2d / (5d / 180)
= 2d * 180 / 5d
Simplifying further, the distance "d" cancels out:
Average speed = 2 * 180 / 5
= 360 / 5
= 72 km/h
Therefore, the average speed of the vehicle traveling equal distances at 60km/h and 90km/h is 72 km/h.
Let the distance for each section be x km
time for the first leg = x/60
time for the 2nd leg = x/90
total time = x/60 + x/90
= (3x+ 2x)/180 = x/36
avg speed = total distance/total time
= 2x/(x/36)
= 2x(36/x)
= 72 km/h
notice it is not the average of the two speeds.