A train 282 m long takes 12 seconds to cross another train 248 m long coming from the opposite direction.
A train 282 m long takes 12 seconds to cross another train 248 m long coming from the opposite direction. If the speed of the first train is 68 km/h, find the speed of the second train.
282 m लंबी एक रेलगाड़ी को विपरीत दिशा से आ रही 248 m लंबी दूसरी रेलगाड़ी को पार करने में 12 सेकंड का समय लगता है। यदि पहली रेलगाड़ी की चाल 68 km/h है, तो दूसरी रेलगाड़ी की चाल ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
91 km/hr
Given:
Length of first train = 282 m
Length of second train = 248 m
Total distance covered while crossing = 282 + 248 = 530 m
Time = 12 s
Relative speed = Distance / Time
= $ \frac{530}{12} $
= 44.17 m/s
Speed of first train
= $68 \times \frac{5}{18}$ m/s
= 18.89 m/s
Speed of second train
= 44.17 − 18.89
= 25.28 m/s
Convert into km/h
= $25.28 \times \frac{18}{5}$
≈ 91 km/h
✅ Correct Answer: 91 km/hr
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