A 175 m long train crosses a platform twice its length in 27 seconds. What is the speed (in km/h) of the train?
- A56
- B63
- C70
- D84
Solution & Step-by-step Explanation
Length of the train (L
train
) = 175 m.
Length of the platform (L
platform
) = 2×175=350 m.
Total distance covered by the train while crossing the platform:
Total Distance=L
train
+L
platform
=175+350=525 m
Time taken (t) = 27 seconds.
Speed of the train (in m/s)=
Time
Total Distance
=
27
525
m/s
To convert the speed from m/s to km/h, multiply by
5
18
:
Speed (in km/h)=
27
525
×
5
18
Speed=(
5
525
)×(
27
18
)=105×
3
2
=35×2=70 km/h
train
) = 175 m.
Length of the platform (L
platform
) = 2×175=350 m.
Total distance covered by the train while crossing the platform:
Total Distance=L
train
+L
platform
=175+350=525 m
Time taken (t) = 27 seconds.
Speed of the train (in m/s)=
Time
Total Distance
=
27
525
m/s
To convert the speed from m/s to km/h, multiply by
5
18
:
Speed (in km/h)=
27
525
×
5
18
Speed=(
5
525
)×(
27
18
)=105×
3
2
=35×2=70 km/h