Problema Solution
A bus traveled on a level road for 3 hours at an average speed 20 miles per hour faster than it traveled on a winding road. The time spent on the winding road was 3 hours. Find the average speed on the level road if the entire trip was 306 miles.
Answer provided by our tutors
let
t1 = 3 hr the time of the travel on the level road
v1 = the average speed on the level road
t2 = 3 hr the time spent on the winding road
v2 = the average speed on the winding road
d = 306 mil the entire distance traveled
A bus traveled on a level road for 3 hours at an average speed 20 miles per hour faster than it traveled on a winding road.
v1 = 20 + v2
the entire trip was 306 miles and we will use the formula distance = avg.speed*time
v1*t1 + v2*t2 = d
3v1 + 3v2 = 306 divide both sides by 3
v1 + v2 = 102
by solving the system of equations
v1 = 20 + v2
v1 + v2 = 102
we find
v1 = 61 mph
click here to see the step by step solution of the system of equations
the average speed of the level road is 61 miles per hour.