The average speed was 30 miles per hour and the return trip, the average speed was 30 miles per hour
The average speed of a body is equal to the total distance covered, divided by the total time taken. The formula for average speed is given as:
Average Speed Formula:
Average Speed = Total distance covered ÷ Total time taken
Average speed given two speeds
Average Speed = 2ab/(a + b)
Applicable when one travels at speed a for half the distance and speed b for other half of the distance.
According to the question
On a trip
Distance form one city to another = d miles
A truck driver's average speed was x miles per hour.
On the return trip, the average speed was y miles per hour.
The average speed for the round trip was 30 miles per hour.
Now,
Using the formula of Average speed for two speeds
Average Speed = 2ab/(a + b)
Putting the values of the average speed
[tex]30 = 2(\frac{xy}{x+y} )[/tex]
[tex]15 = (\frac{xy}{x+y} )[/tex]
15(x+y) = xy
By using trial and error method
x = 30 miles per hour
y = 30 miles per hour
Hence, The average speed was 30 miles per hour and the return trip, the average speed was 30 miles per hour .
To know more about average speed here:
https://brainly.com/question/12322912
#SPJ2
