a train 360 M long is running at a speed of 45 km per hour and crosses the platform in 40 seconds find the length of the platform(answer-140 metre)
Answers
Answer:
length of platform = 140 m.
Step-by-step explanation:
let length of platform = x
total distance travelled by train to cross platform= (360+x) M
speed = 45 km/hr = 45× 5/18 m/s
= 25/2 m/s
dist = speed × time
360+x = (25/2 ) × 40
360+x = 25×20
360+x = 500
x = 500- 360
x = 140 m
Correct Question :
A train 360 m long is running at a speed of 45 km/hr and crosses the platform in 40 seconds. Find the length of the platform.
Solution :
- Length of train = 360 m
- Speed of train = 45 km/hr
=> 45 × 5/18
=> 12.5 m/s
- Time = 40 sec
___________ [ GIVEN ]
• We have to find the length of platform.
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Let length of platform be "M"
___________ [ ASSUME ]
Now..
》 Total distance covered by train = Length of train + Length of platform
=> 360 + M
We know that
》Speed = Distance/Time
Put the known values in above formula
=> 12.5 = (360 + M)/40
Cross multiply them
=> 40(12.5) = 360 + M
=> 500 = 360 + M
=> 500 - 360 = M
=> 140 = M
=> M = 140 (Length of platform)
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Length of platform = 140 m
______________ [ ANSWER ]
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