Word problems › Distance, speed and time

Average speed

Solve the first problem 17 problems

These are 7 of the 17 problems. Sign in for free to see them all. Sign in

1. Average speed over a multi-leg trip ●○○○○ 10 ptsBen drives 150 miles in 3 hours, then 120 miles in 2 hours, then 70 miles in 1 hour. Find his average speed for the entire trip in miles per hour. Round to two decimal places.
2. Average speed of a drive ●○○○○ 10 ptsKaren drove continuously from 9:40 a.m. until 1:20 p.m. of the same day and covered a distance of 165 miles. What was her average speed in miles per hour?
3. Average speed over equal times ●○○○○ 10 ptsShyam travels at 40 km/h for half of the total time and at 30 km/h for the other half. What is Shyam's average speed, in km/h?
4. Return speed on a round trip ●●○○○ 20 ptsA car travels the 120 miles from $A$ to $B$ at 60 miles per hour, and then returns to $A$ on the same road. If the average rate of the round trip is 45 miles per hour, what is the rate, in miles per hour, of the car traveling back from $B$ to $A$?
5. Average speed for a round trip ●●○○○ 20 ptsA car travels from point A to point B at 30 km/h and returns from B to A at 50 km/h, covering the same distance each way. Find its average speed for the whole round trip, in km/h.
6. Average speed on a round trip ●●○○○ 20 ptsA man travels from point A to point B at a speed of 20 km/h and returns from point B to point A at a speed of 30 km/h. The distance from A to B equals the distance from B to A. Find his average speed over the whole trip, in km/h.
7. Maximum traffic flow over average speed ●●●○○ 50 ptsOn a certain road section, the traffic flow $y$ (in thousands of vehicles per hour) and the average speed $v$ (in km/h) of vehicles satisfy $y=\frac{670(v-5)}{v^2-8v+915}$ for $v>5$. Find the average speed $v$ at which the traffic flow is largest, and the maximum traffic flow. Round the maximum traffic flow to one decimal place.

More in Distance, speed and time

Boats in a currentCatching up and overtakingChanging speed and arrival timeChases measured in stepsClosest approach of two moversFuel consumption and distanceLaps on a circular trackMeeting points and shuttlesMilestones and distancesRatios of speeds and timesRelative motion on roadsRunners on a trackTotal distance walkedTrains: length, speed and intervalsTravel time and speedTwo travellers meeting