This math topic focuses on calculating a person's speed relative to the ground while walking from the back to the front of a moving train. Each problem specifies the train's length, its speed, and the distance the train covers during the person's walk. Students are tasked with determining the speed of the person relative to the ground, with multiple-choice answers provided for each scenario. This set of problems enhances students' understanding of relative speed within the broader framework of speed, distance, and time logic challenges.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
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Person in Train - Solve for Person Speed
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A person on a 100 m long train that is going 3 m/s walks from the back to the front while the train goes 150 m. What is the person's speed relative to the ground?
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Speed - Person in Train - Solve for Person Speed Worksheet
| Math worksheet on 'Speed - Person in Train - Solve for Person Speed (Level 3)'. Part of a broader unit on 'Speed, Distance, and Time Logic Challenges - Intro' Learn online: app.mobius.academy/math/units/speed_distance_time_logic_intro/ |
| A person on a 120 m long train that is going 5 m/s walks from the back to the front while the train goes 200 m. What is the person's speed relative to the ground? |
| 5 m/s |
| 23 m/s |
| 17 m/s |
| 8 m/s |
| A person on a 160 m long train that is going 5 m/s walks from the back to the front while the train goes 100 m. What is the person's speed relative to the ground? |
| 38 m/s |
| 13 m/s |
| 18 m/s |
| 23 m/s |
| A person on a 160 m long train that is going 3 m/s walks from the back to the front while the train goes 120 m. What is the person's speed relative to the ground? |
| 7 m/s |
| 17 m/s |
| 32 m/s |
| 8 m/s |
| A person on a 90 m long train that is going 3 m/s walks from the back to the front while the train goes 135 m. What is the person's speed relative to the ground? |
| 15 m/s |
| 5 m/s |
| 25 m/s |
| 30 m/s |
| A person on a 240 m long train that is going 4 m/s walks from the back to the front while the train goes 160 m. What is the person's speed relative to the ground? |
| 5 m/s |
| 25 m/s |
| 10 m/s |
| 30 m/s |
| A person on a 110 m long train that is going 6 m/s walks from the back to the front while the train goes 330 m. What is the person's speed relative to the ground? |
| 13 m/s |
| 5 m/s |
| 17 m/s |
| 8 m/s |
| A person on a 140 m long train that is going 3 m/s walks from the back to the front while the train goes 105 m. What is the person's speed relative to the ground? |
| 22 m/s |
| 27 m/s |
| 7 m/s |
| 17 m/s |