Math Drills
Traveler Problems
B-2Word Problems (Catching Up)
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What this worksheet covers
- Topic
- Traveler Problems
- Worksheet
- 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.
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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
Questions & answers
Problems and answers on this worksheet
These are the problems in “Traveler Problems”, shown with their answers.
(1)Yuuna's younger sister was 400m ahead, walking at a speed of 50m per minute. Yuuna chased the younger sister on a bicycle moving at a speed of 150m per minute, a much faster speed. Each 1 minute, by how many m does Yuuna catch up with the younger sister? Answer □ After how many minutes does Yuuna catch up with the younger sister? Answer □
Answer: 100m, 4minutes later
(2)Grace chased her younger sister, who was walking 850m ahead at a speed of 80m per minute, on a bicycle at a speed of 250m per minute as its speed. In how many minutes later will Grace catch up with her younger sister? Answer □
Answer: 5minutes later
(3)Shelby is walking to the station at a speed of 80m per minute. 6 minutes after Shelby left home, her father, who realized she had forgotten to bring the commuter pass, chased after her on an bicycle at a speed of 200m per minute. How many minutes later, after her father leaves home, will he catch up with Shelby? Answer □
Answer: 4minutes later
(4)Around a 1 lap 800m pond, Liam and Indigo start from the same point at the same time, heading in the same direction. Liam runs at speed 100m per minute, and Indigo runs at speed 60m per minute. How many minutes later will Liam catch up with Indigo for the first time? Answer □
Answer: 20minutes later
