Math Drills
Traveler Problems
B-3Word 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)Noel's older brother was 560m ahead, walking at a speed of 70m per minute. Noel chased the older brother on a bicycle moving at a speed of 210m per minute, a much faster speed. Each 1 minute, by how many m does Noel catch up with the older brother? Answer □ After how many minutes does Noel catch up with the older brother? Answer □
Answer: 140m, 4minutes later
(2)Shawn chased his older sister, who was walking 1200m ahead at a speed of 80m per minute, on a bicycle at a speed of 200m per minute as its speed. In how many minutes later will Shawn catch up with his older sister? Answer □
Answer: 10minutes later
(3)Faye is walking to the library at a speed of 65m per minute. 12 minutes after Faye left the station, her father, who wanted to deliver the umbrella she forgot, chased after her in a van at a speed of 260m per minute. How many minutes later, after her father leaves the station, will he catch up with Faye? Answer □
Answer: 4minutes later
(4)Around a 1 lap 630m pond, Oliver and Mason start from the same point at the same time, heading in the same direction. Oliver runs at speed 90m per minute, and Mason runs at speed 60m per minute. How many minutes later will Oliver catch up with Mason for the first time? Answer □
Answer: 21minutes later
