Distance, Rate, And Time Word Problems Worksheet With Answers (Page 4 of 5) in pdf

29. A bus traveling at a rate of 60 mph overtakes a car traveling at a rate of 45

mph. If the car had a 1 h head start, how far from the starting point does

the bus overtake the car?

30. Two small planes start from the same point and ﬂy in opposite directions.

The ﬁrst plane is ﬂying 25 mph slower than the second plane. In 2 h, the

planes are 470 mi apart. Find the rate of each plane.

31. A truck leaves a depot at 11 A.M. and travels at a speed of 45 mph. At noon,

a van leaves the same place and travels the same route at a speed of 65 mph.

At what time does the van overtake the truck?

32. A family drove to a resort at an average speed of 25 mph and later returned

over the same road at an average speed of 40 mph. Find the distance to the

resort if the total driving time was 13 h.

33. Three campers left their campsite by canoe and paddled downstream at an

average rate of 10 mph. They then turned around and paddled back

upstream at an average rate of 5 mph to return to their campsite. How long

did it take the campers to canoe downstream if the total trip took 1 hr?

34. A motorcycle breaks down and the rider has to walk the rest of the way to

work. The motorcycle was being driven at 45 mph, and the rider walks at a

speed of 6 mph. The distance from home to work is 25 miles, and the total

time for the trip was 2 hours. How far did the motorcycle go before if broke

down?

35. A student walks and jogs to college each day. The student averages 5 km/hr

walking and 9 km/hr jogging. The distance from home to college is 8 km,

and the student makes the trip in one hour. How far does the student jog?

36. On a 130 mi trip, a car traveled at an average speed of 55 mph and then

reduced its speed to 40 mph for the remainder of the trip. The trip took a

total of 2.5 h. For how long did the car travel at 40 mph?

37. On a 220 mi trip, a car traveled at an average speed of 50 mph and then

reduced its average speed to 35 mph for the remainder of the trip. The trip

took a total of 5 h. How long did the car travel at each speed?

38. An executive drove from home at an average speed of 40 mph to an airport

where a helicopter was waiting. The executive boarded the helicopter and

ﬂew to the corporate oﬃces at and average speed of 60 mph. The entire

distance was 150 mi. The entire trip took 3 h. Find the distance from the

airport to the corporate oﬃces.

Beginning and Intermediate Algebra by Tyler Wallace is licensed under a Creative Commons

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