This math topic focuses on calculating the speed of a train based on the relative speed of a person walking from the back to the front of the train. The problems provide the length of the train, the time it takes for the person to walk from one end to the other, and the person's speed relative to the ground. Students are required to solve for the train's speed using these given values. This topic is part of an introductory unit on speed, distance, and time logic challenges.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
Practice:
Person in Train - Solve for Train Speed
Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.
A person on a 200 m long train walks from the back to the front in 40 s. The person's speed relative to the ground is 10 m/s. How fast is the train going?
Speed - Person in Train - Solve for Train Speed Worksheet
| Math worksheet on 'Speed - Person in Train - Solve for Train 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 100 m long train walks from the back to the front in 25 s. The person's speed relative to the ground is 9 m/s. How fast is the train going? |
| 15 m/s |
| 10 m/s |
| 25 m/s |
| 5 m/s |
| A person on a 160 m long train walks from the back to the front in 40 s. The person's speed relative to the ground is 7 m/s. How fast is the train going? |
| 3 m/s |
| 12 m/s |
| 18 m/s |
| 8 m/s |
| A person on a 150 m long train walks from the back to the front in 15 s. The person's speed relative to the ground is 16 m/s. How fast is the train going? |
| 9 m/s |
| 6 m/s |
| 5 m/s |
| 31 m/s |
| A person on a 180 m long train walks from the back to the front in 30 s. The person's speed relative to the ground is 10 m/s. How fast is the train going? |
| 21 m/s |
| 5 m/s |
| 29 m/s |
| 4 m/s |
| A person on a 120 m long train walks from the back to the front in 40 s. The person's speed relative to the ground is 8 m/s. How fast is the train going? |
| 5 m/s |
| 30 m/s |
| 15 m/s |
| A person on a 180 m long train walks from the back to the front in 45 s. The person's speed relative to the ground is 10 m/s. How fast is the train going? |
| 9 m/s |
| 6 m/s |
| 21 m/s |
| 31 m/s |
| A person on a 200 m long train walks from the back to the front in 25 s. The person's speed relative to the ground is 11 m/s. How fast is the train going? |
| 17 m/s |
| 18 m/s |
| 28 m/s |
| 3 m/s |