Math Drills
Traveler Problems
A-2Word Problems (Meeting)
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.
- Meeting (With a Hint)1 question
- Meeting1 question
- Meeting (Where They Meet)1 question
- Meeting (Finding the Speed)1 question
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Problems and answers on this worksheet
These are the problems in “Traveler Problems”, shown with their answers.
(1)Yvaine and Truman started at the same time in opposite directions from the same place around a pond where 1 lap is 1200m. Yvaine walks at speed 80m, and Truman walks at speed 70m per minute. Every 1 minute, by how many m do the 2 people get closer to each other? Answer □ How many minutes later do the 2 people meet for the first time? Answer □
Answer: 150m, 8minutes later
(2)Norman and Cheryl set off at the same time from the same spot, heading in opposite directions around a pond where 1 lap is 920m. Norman walks at speed 65m, and Cheryl walks at speed 50m. In how many minutes will the 2 of them first meet? Answer □
Answer: 8minutes later
(3)Taylor and Caleb started running at the same time from Point A and Point B, 840m apart, toward each other. Taylor runs at speed 75m per minute, and Caleb runs at speed 65m per minute. How many m from Point A, where Taylor started, is the point where 2 people meet? Answer □
Answer: 450m
(4)Owen and Riley start out toward each other from 840m apart at the same time, and meet 7 minutes later. Owen is walking at a speed of 65m. What is Riley's walking speed, how many m? Answer □
Answer: 55m
