Further problem solving

Question

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 2 hours. Find the average speed on the level road of the entire trip was 310 miles.

Answer 1

The explanation is provided in the video.

The key to successfully solving problems like these is to make sure each expression accurately represents the relationship shown in the word problem.

Use context clues to appropriately assign expressions, and use inverse operation to solve for x.

I hope the video explanation helped!! :)

Answer 2

The last sentence is probably too short :-)

But if x is an average velocity on a winding road, then (x+20) is an average velocity on a level road.

The total trip was 310 mi, and the distance traveled equals time * velocity, so we have to solve the equation

310 = 2 * x + 3 * (x + 20 ) Simplifying, it becomes 310 = 5 * x + 60. Hence 310 - 60 = 5 * x i.e.

250 = 5 * x which yields x = 50. Therefore, the average speed on the level road is 70 mph.

Answer 3

Here we can use the basic formula involving distance rate and time to get started

d= r * t

let r = speed on winding road

r + 20 = speed on level road

Remember distance = rate times time,,,,,, d = r • t

distance traveled on level road = (r+20)3...3r + 60

distance traveled on winding road = r (2)...2r

We know the total distance traveled on winding road and level road is 310 miles so...

310 = (3r + 60) + 2r

310 = 5r + 60

250=5r

50 = r

r + 20 = 70

Average speed on level road was 70 miles per hour