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Train P crosses an electric pole in 30 seconds and the speed of the Train Q is 18 kmph more than the speed of the Train P. If train P crosses train Q is running in opposite directions in 20 seconds and also crosses 200 m long tunnel in 40 seconds. Then find the length of the Train Q ?
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- Train P crosses an electric pole in 30 seconds, so its speed is calculated by its length divided by time.
- It also crosses a 200-meter long tunnel in 40 seconds.
- Let L be the length of Train P and S the speed.
- Thus, S=L30 and S=L+20040.
- Solving L30=L+20040, we find L=200 meters.
- Speed of Train P, S=20030×18/5 m/s=24 m/s.
- Train Q's speed is 18 km/h more than Train P.
- Converting speeds to m/s, Q=(24+18×518)×5/18 m/s=29 m/s.
- Distance when crossing each other: LP+LQ=(24+29)×20=1060 meters.
- So, LQ=1060−200=860 meters.
- ?? Except the calculated value is not an option available.
- Re-calculate speed in km/hr and account exact calculation twists or let cross-verification as needed.
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