Math Drills
Traveler Problems
B-4Word Problems (Catching Up)
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.
- Catching Up (With a Hint)1 question
- Catching Up1 question
- Catching Up (Time Difference)1 question
- Catching Up (Around a Pond)1 question
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Problems and answers on this worksheet
These are the problems in “Traveler Problems”, shown with their answers.
(1)Helena's older brother was 700m ahead, walking at a speed of 70m per minute. Helena chased the older brother on a bicycle moving at a speed of 245m per minute, a much faster speed. Each 1 minute, by how many m does Helena catch up with the older brother? Answer □ After how many minutes does Helena catch up with the older brother? Answer □
Answer: 175m, 4minutes later
(2)Aria chased her older brother, who was walking 525m ahead at a speed of 75m per minute, on a bicycle at a speed of 250m per minute as its speed. In how many minutes later will Aria catch up with her older brother? Answer □
Answer: 3minutes later
(3)Suzette is walking to the park at a speed of 55m per minute. 9 minutes after Suzette left home, her mother, who wanted to deliver a lunch box, chased after her on an bicycle at a speed of 220m per minute. How many minutes later, after her mother leaves home, will she catch up with Suzette? Answer □
Answer: 3minutes later
(4)Around a 1 lap 720m pond, Caleb and Kaiden start from the same point at the same time, heading in the same direction. Caleb runs at speed 90m per minute, and Kaiden runs at speed 60m per minute. How many minutes later will Caleb catch up with Kaiden for the first time? Answer □
Answer: 24minutes later
