Math Drills
Traveler Problems
C-4Word Problems (Walking and Running)
What this worksheet covers
Grade 6 (Elementary School) / Traveler Problems / Traveler Problems
The movements of two people are followed at once. The time until they meet walking toward each other and the place where they meet, the shape finding one of the speeds backward, the time until one chases another down from behind, departures separated in time, Catching Up around a pond, and scenes split into a walking stretch and a running stretch are all followed as word problems.
Asked for the average speed over a there-and-back trip, papers write the speed out and the speed back added and halved. The average speed is the whole there-and-back distance divided by the total time taken, and it is pulled toward the slower side. An answer sitting exactly between the two speeds is this pattern.
Handling the scenes of speed once through is the business of this single lesson. Following movement gives way, and the talk turns to regularity, where which position in a repetition is named through division and a remainder.
- Ratio of Walking and Running (With a Hint)1 question
- Ratio of Walking and Running1 question
- Distance Walked and Run1 question
- Average Speed of Walking and Running1 question
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Problems and answers on this worksheet
These are the problems in “Traveler Problems”, shown with their answers.
(1)It takes Helena 12 minutes to walk and 4 minutes to run from the school to the station. Helena walked for 3 minutes first, then ran the rest of the way to the station. Taking the whole distance as 1, what part of the whole distance was covered running? Answer with a fraction. Answer □ How many minutes were spent running? Answer □
Answer: 3/4, 3minutes
(2)To go from the library to the bookstore, it takes Regina 24 minutes to walk and 12 minutes to run. Regina first walked for 8 minutes, then ran the rest of the way to the bookstore. For how many minutes did Regina run? Answer □
Answer: 8minutes
(3)First, Caleb walked at a speed of 70m per minute for 6 minutes, then ran at a speed of 180m per minute for 4 minutes. In total, how many m is the distance Caleb traveled? Answer □
Answer: 1140m
(4)Lily walked from home to the train station, a distance of 150m. Going there, Lily walked at speed 50m, and coming back, ran at speed 75m. What is the average speed for the round trip combining the way there and back, in how many m? Answer □
Answer: 60m
