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

This math topic covers problems related to calculating the length of a train. It involves understanding speeds, including the speed of a person walking through a train and the train's own speed, to determine the distance from the back to the front of the train. Various scenarios are presented where a person travels at different relative speeds to the ground, and the train travels at different speeds. The individual's task is to compute the train's length based on the time it takes for the person to walk from one end of the train to the other.

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 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

In 15 s, a person walks from the back to the front of a train that is going 10 m/s. The person's speed relative to the ground is 18 m/s. How long is the train?

a

120 m

b

130 m

c

145 m

d

125 m

2

In 40 s, a person walks from the back to the front of a train that is going 8 m/s. The person's speed relative to the ground is 11 m/s. How long is the train?

a

120 m

b

110 m

c

140 m

d

105 m

3

In 25 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 10 m/s. How long is the train?

a

125 m

b

115 m

c

120 m

d

100 m

4

In 15 s, a person walks from the back to the front of a train that is going 7 m/s. The person's speed relative to the ground is 12 m/s. How long is the train?

a

95 m

b

50 m

c

75 m

d

60 m

5

In 35 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

250 m

b

245 m

c

230 m

d

225 m

6

In 10 s, a person walks from the back to the front of a train that is going 9 m/s. The person's speed relative to the ground is 17 m/s. How long is the train?

a

105 m

b

70 m

c

75 m

d

80 m

7

In 10 s, a person walks from the back to the front of a train that is going 8 m/s. The person's speed relative to the ground is 12 m/s. How long is the train?

a

40 m

b

45 m

c

15 m

d

65 m