Speed - Person in Train - Solve for Train Length (Level 3)

This math topic focuses on calculating the length of a train based on the speeds of both the train and a person walking inside it from back to front. Each problem provides the speeds of the train and the person relative to the ground, along with the time it takes for the person to walk from one end of the train to the other. The learner needs to use these pieces of information to solve for the train's length, applying concepts related to relative speed and distance calculations in the context of "Speed, Distance, and Time." The questions are structured with multiple-choice answers, enhancing problem-solving skills and logical reasoning in applied physics scenarios.

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

Speed - Person in Train - Solve for Train Length Worksheet

Math worksheet on 'Speed - Person in Train - Solve for Train Length (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/

1

In 15 s, a person walks from the back to the front of a train that is going 3 m/s. The person's speed relative to the ground is 10 m/s. How long is the train?

a

115 m

b

95 m

c

105 m

d

90 m

2

In 55 s, a person walks from the back to the front of a train that is going 6 m/s. The person's speed relative to the ground is 13 m/s. How long is the train?

a

385 m

b

360 m

c

405 m

d

400 m

3

In 30 s, a person walks from the back to the front of a train that is going 6 m/s. The person's speed relative to the ground is 13 m/s. How long is the train?

a

210 m

b

220 m

c

235 m

d

200 m

4

In 50 s, a person walks from the back to the front of a train that is going 5 m/s. The person's speed relative to the ground is 12 m/s. How long is the train?

a

365 m

b

350 m

c

340 m

d

330 m

5

In 25 s, a person walks from the back to the front of a train that is going 5 m/s. The person's speed relative to the ground is 8 m/s. How long is the train?

a

75 m

b

50 m

c

100 m

d

55 m

6

In 40 s, a person walks from the back to the front of a train that is going 6 m/s. The person's speed relative to the ground is 11 m/s. How long is the train?

a

225 m

b

210 m

c

200 m

d

220 m

7

In 15 s, a person walks from the back to the front of a train that is going 6 m/s. The person's speed relative to the ground is 9 m/s. How long is the train?

a

30 m

b

35 m

c

50 m

d

45 m