A train running at 36 km/h crosses a mark on the platform in 8 sec and takes 20 sec to cross the platform. What is the length of the platform?
Answers
Answer:
Speed of the Train = 36 km/hr.
= 36 × 5/18 [Changing into m/s]
= 2 × 5
= 10 m/s.
Given❇
Time taken to cross the Platform = 20 seconds.
Time taken to cross the platform = 08 seconds.
∵ Speed of the Train = Length of the Train/Time to cross the platform
∴ Length of the Train = Speed of the Train × Time to cross the platform.Speed of the Train = 36 km/hr.
= 36 × 5/18 [Changing into m/s]
= 2 × 5
= 10 m/s.
_________________________
Given❇
Time taken to cross the Platform = 20 seconds.
Time taken to cross theplatform = 10 seconds.
∵ Speed of the Train = Length of the Train/Time to cross the platform
∴ Length of the Train = Speed of the Train × Time to cross the
platform .
= 10 × 10
= 100 m.
___________________________
Now,
Sum of the Length of Platform and train = Speed of the Train × Time taken by the Train to cross the Platform.
= 10 × 20
= 200 m.
∵ Length of the Train + Length of the Platform = 200
∴ 100 + Length of the Platform = 200
∴ Length of the Platform = 200 - 100
= 100 m.
∴ Length of the Platform is
= 10 × 08
= 80 m.
________________________
Now,
Sum of the Length of Platform and train = Speed of the Train × Time taken by the Train to cross the Platform.
= 10 × 20
= 200 m.
∵ Length of the Train + Length of the Platform = 200
∴ 100 + Length of the Platform = 200
∴ Length of the Platform = 200 - 80
= 120 m.
∴ Length of the Platform is 120 m.
Option a) 120 I'd correct.