Speed - Person in Train - Solve for Train Speed (Level 2)

This math topic focuses on calculating the speed of a train based on a person's movement within it. It involves problems where a person walks from the back to the front of a train and the person's ground speed is known, along with the time taken for the walk and the train's length. Students are tasked with determining the train's speed. Each problem provides multiple-choice answers, allowing students to apply concepts of speed, distance, and time to solve real-world relative motion problems.

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 2)'. 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 150 m long train walks from the back to the front in 10 s. The person's speed relative to the ground is 24 m/s. How fast is the train going?

a

14 m/s

b

29 m/s

c

9 m/s

d

5 m/s

2

A person on a 170 m long train walks from the back to the front in 10 s. The person's speed relative to the ground is 24 m/s. How fast is the train going?

a

7 m/s

b

12 m/s

c

18 m/s

d

13 m/s

3

A person on a 120 m long train walks from the back to the front in 15 s. The person's speed relative to the ground is 14 m/s. How fast is the train going?

a

16 m/s

b

6 m/s

c

21 m/s

d

9 m/s

4

A person on a 140 m long train walks from the back to the front in 10 s. The person's speed relative to the ground is 19 m/s. How fast is the train going?

a

5 m/s

b

10 m/s

c

15 m/s

d

20 m/s

5

A person on a 180 m long train walks from the back to the front in 10 s. The person's speed relative to the ground is 27 m/s. How fast is the train going?

a

9 m/s

b

11 m/s

c

6 m/s

d

14 m/s

6

A person on a 120 m long train walks from the back to the front in 10 s. The person's speed relative to the ground is 21 m/s. How fast is the train going?

a

24 m/s

b

11 m/s

c

9 m/s

d

29 m/s

7

A person on a 140 m long train walks from the back to the front in 20 s. The person's speed relative to the ground is 15 m/s. How fast is the train going?

a

33 m/s

b

7 m/s

c

8 m/s

d

5 m/s