Speed - Person in Train - Solve for Train Speed (Level 1)

This math topic focuses on problems involving speed, distance, and time. It specifically challenges students to solve for the speed of a train given certain conditions: a person walking from the back to the front of various lengths of trains, over varying amounts of time, and at different speeds relative to the ground. Each question presents multiple-choice answers, requiring an understanding of relative motion and basic speed-distance-time calculations. This forms part of an introductory logic challenges unit on these concepts.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Speed - Person in Train - Solve for Train Speed Worksheet

Math worksheet on 'Speed - Person in Train - Solve for Train Speed (Level 1)'. 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/

1

A person on a 60 m long train walks from the back to the front in 30 s. The person's speed relative to the ground is 7 m/s. How fast is the train going?

a

10 m/s

b

20 m/s

c

5 m/s

2

A person on a 30 m long train walks from the back to the front in 10 s. The person's speed relative to the ground is 9 m/s. How fast is the train going?

a

6 m/s

b

5 m/s

c

21 m/s

d

19 m/s

3

A person on a 40 m long train walks from the back to the front in 20 s. The person's speed relative to the ground is 8 m/s. How fast is the train going?

a

26 m/s

b

14 m/s

c

5 m/s

d

6 m/s

4

A person on a 40 m long train walks from the back to the front in 20 s. The person's speed relative to the ground is 6 m/s. How fast is the train going?

a

11 m/s

b

4 m/s

c

21 m/s

d

5 m/s

5

A person on a 40 m long train walks from the back to the front in 20 s. The person's speed relative to the ground is 5 m/s. How fast is the train going?

a

23 m/s

b

3 m/s

c

8 m/s

d

17 m/s

6

A person on a 40 m long train walks from the back to the front in 10 s. The person's speed relative to the ground is 9 m/s. How fast is the train going?

a

20 m/s

b

15 m/s

c

5 m/s

d

10 m/s

7

A person on a 60 m long train walks from the back to the front in 10 s. The person's speed relative to the ground is 11 m/s. How fast is the train going?

a

10 m/s

b

15 m/s

c

5 m/s