[ Chapter 8] Problems on Train (Math Solution ) SwiftSolver Swift Solver
= 
↔ 20 x = 8(x + 180) ↔ x = 120.
Length of the train = 120 m.
Ex.1. A train 100 m long is running at the speed of 30 km/hr. find the time taken by in to pass a man standing near the railway line.
100 मीटर लंबी एक ट्रेन 30 किमी / घंटा की गति से चल रही है। रेलवे लाइन के पास खड़े एक आदमी को पास करने के लिए समय लगता है।
Solution:
Speed of the train = 
m/sec = 
m/sec.
m/sec = m/sec.
Distance moved in passing the standing man = 100 m.
Required time taken = 
=
sec = 12 sec.
=sec = 12 sec.
Ex.2. A train is moving at a speed of 132 km/hr. If the length of the train is 110 metres, how long will it take to cross a railway platform 165 metre long?
एक ट्रेन 132 किमी / घंटा की गति से आगे बढ़ रही है। यदि ट्रेन की लंबाई 110 मीटर है, तो 165 मीटर लंबे रेलवे प्लेटफॉर्म को पार करने में कितना समय लगेगा?
Solution:
Speed of the train = 
m/sec. = 
m/sec.
m/sec. = m/sec.
Distance covered in passing the platform = (110+165) m = 275 m.
Time taken = 
sec =
sec =7
sec.
sec = sec =7sec.
Ex.3 A man is standing on a railway bridge which is 180 m long. He finds that a train crosses the bridge in 20 seconds but himself in 8 seconds. Find the length of the train and its speed.
एक आदमी रेलवे पुल पर खड़ा है जो 180 मीटर लंबा है। वह पाता है कि एक ट्रेन 20 सेकंड में पुल पार कर लेती है लेकिन खुद 8 सेकंड में। ट्रेन की लंबाई और उसकी गति ज्ञात कीजिए।
Solution:
Let the length of the train be x metres.
Then, the train covers x metres in 8 seconds and (x + 180) metres in 20 seconds.
= ↔ 20 x = 8(x + 180) ↔ x = 120. Length of the train = 120 m.
Speed of the train = 
m/sec = m/sec = 
kmph = 54 kmph.
m/sec = m/sec = kmph = 54 kmph.
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Math Question