Math Drills
Traveler Problems
A-3Word 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)Mia and Trenton are 1200m apart. The 2 people started at the same time, facing each other. Mia walks at speed 70m, and Trenton walks at speed 80m 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? Answer □
Answer: 150m, 8minutes later
(2)Aurora and Shane set off at the same time from the same spot, heading in opposite directions around a pond where 1 lap is 1080m. Aurora walks at speed 80m, and Shane walks at speed 55m. In how many minutes will the 2 of them first meet? Answer □
Answer: 8minutes later
(3)Harrison and Ethan set off at the same time from the house and the school, 900m apart, walking toward each other. Harrison walks at speed 80m per minute, and Ethan walks at speed 70m per minute. How many m from Harrison's house is the point where 2 people meet? Answer □
Answer: 480m
(4)Sophia and Mabel start out toward each other from 660m apart at the same time, and meet 6 minutes later. Sophia is walking at a speed of 45m. What is Mabel's walking speed, how many m? Answer □
Answer: 65m
