Question:
A train 600 meters long is running at a speed of 90 kms/hr. If it crosses a tunnel in one minute, then the length of the tunnel is:
A train 600 meters long is running at a speed of 90 kms/hr. If it crosses a tunnel in one minute, then the length of the tunnel is:
Updated On: Jul 15, 2026
- 500 meters
- 550 meters
- 600 meters
- 900 meters
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The Correct Option is D
Approach Solution - 1
The correct option is (D): 900 meters.
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Approach Solution -2
The question gives a 600 metre train running at 90 km/hr that crosses a tunnel in one minute, and asks for the tunnel's length. When a train crosses a tunnel, the total distance covered equals the train's length plus the tunnel's length, so each option can be checked by adding it to 600 m and comparing against the distance the train actually covers in one minute.
- 500 meters: Adding this to the train's length gives a total distance of 1100 m, which does not match the distance covered by the train in one minute at 90 km/hr.
- 550 meters: This would require a total distance of 1150 m in one minute, again not matching the train's actual speed.
- 600 meters: This would require a total distance of 1200 m in one minute, still short of the distance the train covers.
- 900 meters: Converting 90 km/hr to metres per second gives 25 m/s, so in 60 seconds the train covers \( 25 \times 60 = 1500 \) m. Subtracting the train's own length, \( 1500 - 600 = 900 \) m, which is exactly the total distance required to fully cross the tunnel.
Checking the total distance the train covers in one minute against train length plus tunnel length shows only 900 m tunnel length balances the equation.
Therefore, the correct answer is 900 meters.
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The question gives a 600 m train travelling at 90 km/hr that takes one minute to cross a tunnel, and asks for the tunnel's length. Instead of converting the speed into metres per second, converting the time into hours to match the given speed unit directly gives the total distance covered.
- 500 meters: Converting the time, 1 minute equals \( \frac{1}{60} \) hour, so the total distance covered is \( 90 \times \frac{1}{60} = 1.5 \) km, or 1500 m. Subtracting the train's own length, \( 1500-600=900 \) m of tunnel is needed, not 500 m.
- 550 meters: The same 1500 m total distance minus the 600 m train length leaves 900 m, not 550 m, so this option does not match.
- 600 meters: Again, 900 m is what remains after subtracting the train's length from the total 1500 m covered, not 600 m.
- 900 meters: With total distance covered equal to 1500 m in one minute and the train itself measuring 600 m, the tunnel accounts for the remaining \( 1500-600=900 \) m, matching this option.
Converting the one-minute crossing time into hours to match the given speed shows the train covers 1500 m in total, of which 900 m belongs to the tunnel once the train's own length is removed.
Therefore, the correct answer is 900 meters.
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