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Speed

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

This math topic focuses on calculating relative speeds, specifically the speed of a person relative to the ground while moving from the back to the front of a train. The problems on this topic involve determining this speed across various scenarios where the speed of the train and the distances covered by both the train and the person vary. Each question provides multiple choice answers to choose from. This set of problems is designed to enhance understanding of concepts involving speed, distance, and time within practical contexts.

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

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Speed - Person in Train - Solve for Person Speed Worksheet

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Speed - Person in Train - Solve for Person Speed
1
A person on a 120 m long train that is going 10 m/s walks from the back to the front while the train goes 200 m. What is the person's speed relative to the ground?
a
16 m/s
b
9 m/s
c
36 m/s
d
41 m/s
2
A person on a 180 m long train that is going 5 m/s walks from the back to the front while the train goes 225 m. What is the person's speed relative to the ground?
a
24 m/s
b
6 m/s
c
9 m/s
d
29 m/s
3
A person on a 90 m long train that is going 9 m/s walks from the back to the front while the train goes 270 m. What is the person's speed relative to the ground?
a
8 m/s
b
37 m/s
c
22 m/s
d
12 m/s
4
A person on a 140 m long train that is going 7 m/s walks from the back to the front while the train goes 245 m. What is the person's speed relative to the ground?
a
11 m/s
b
36 m/s
c
5 m/s
d
31 m/s
5
A person on a 130 m long train that is going 5 m/s walks from the back to the front while the train goes 50 m. What is the person's speed relative to the ground?
a
33 m/s
b
38 m/s
c
43 m/s
d
18 m/s
6
A person on a 180 m long train that is going 6 m/s walks from the back to the front while the train goes 270 m. What is the person's speed relative to the ground?
a
15 m/s
b
10 m/s
c
35 m/s
d
5 m/s
7
A person on a 80 m long train that is going 9 m/s walks from the back to the front while the train goes 90 m. What is the person's speed relative to the ground?
a
17 m/s
b
8 m/s
c
42 m/s
d
27 m/s
8
A person on a 160 m long train that is going 10 m/s walks from the back to the front while the train goes 100 m. What is the person's speed relative to the ground?
a
26 m/s
b
31 m/s
c
46 m/s
d
51 m/s