Math Drills
Traveler Problems
B-1Word 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)Cole's older sister was 840m ahead, walking at a speed of 70m per minute. Cole chased the older sister on a horse moving at a speed of 280m per minute, a much faster speed. Each 1 minute, by how many m does Cole catch up with the older sister? Answer □ After how many minutes does Cole catch up with the older sister? Answer □
Answer: 210m, 4minutes later
(2)Shea chased his older brother, who was walking 720m ahead at a speed of 90m per minute, on a bicycle at a speed of 270m per minute as its speed. In how many minutes later will Shea catch up with his older brother? Answer □
Answer: 4minutes later
(3)Aria is walking to the park at a speed of 70m per minute. 6 minutes after Aria left home, her older sister, who wanted to deliver a water bottle, chased after her on an bicycle at a speed of 210m per minute. How many minutes later, after her older sister leaves home, will she catch up with Aria? Answer □
Answer: 3minutes later
(4)Around a 1 lap 540m pond, Milo and Lily start from the same point at the same time, heading in the same direction. Milo walks at speed 75m per minute, and Lily walks at speed 45m per minute. How many minutes later will Milo catch up with Lily for the first time? Answer □
Answer: 18minutes later
