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

This math topic focuses on problems related to solving for the length of a train by using the concepts of speed, distance, and time. It involves understanding the relative speed of a person walking through a moving train and calculating the train's length based on given speeds and time durations. The specific skill practiced is calculating distance using the formula for speed times time, adjusting for the relative speeds of the train and the individual. The problems presented offer multiple choice answers, enhancing problem-solving and logical reasoning within the context of motion.

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 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

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 9 m/s. How long is the train?

a

110 m

b

80 m

c

90 m

d

95 m

2

In 20 s, a person walks from the back to the front of a train that is going 4 m/s. The person's speed relative to the ground is 7 m/s. How long is the train?

a

45 m

b

60 m

c

55 m

d

65 m

3

In 10 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 6 m/s. How long is the train?

a

15 m

b

10 m

c

25 m

d

5 m

4

In 30 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 4 m/s. How long is the train?

a

30 m

b

55 m

c

45 m

d

25 m

5

In 20 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

125 m

b

100 m

c

120 m

d

85 m

6

In 20 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 7 m/s. How long is the train?

a

10 m

b

40 m

c

5 m

d

20 m

7

In 10 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 10 m/s. How long is the train?

a

35 m

b

75 m

c

40 m

d

50 m