What are you looking for? Let’s dig in quickly
Recommended
- A train speeds past a pole in 15 seconds
- A goods train runs at the speed of 72 km/h
- A train passes a station platform in 36 seconds
- A train covers a distance of 12 km in 10 minutes
- Two trains of equal length are running on parallel lines
- The length of the bridge, which a train 130 meters long
- A 270 meters long train running at the speed of 120km/h
- A 300 meters long train crosses a platform in 39 seconds
- A train takes 18 seconds to pass completely through a station
Explanation
A train 800 meter long is running at a speed of 78 km/h. If it crosses a tunnel in one minute, then the length of the tunnel will be determined according to the formula mentioned here under as;
Length = speed x time ________ (i)
Assuming the length of the tunnel = n
Total length = n + 800
Speed will be converted to m/sec and time is also given (1 min = 60 sec).
By substituting all the value in the equation (i); length = 500 meter
To Find
Length of the tunnel = ?
Solution
Given speed = 78 km/h
Speed in m/sec = (78 x 1000)/3600
Speed in m/sec = 195/9 m/sec
Time required to pass the tunnel = 1 min = 60 sec
Let suppose
the length of tunnel = n
so, total length = n + 800
Now,
length = speed x time
n + 800 = (195 x 60)/9
n + 800 = 11,700/9
n = 1300 – 800
n = 500 meter answer
Conclusion
A train 800 meter long is running at a speed of 78 km/h. If it crosses a tunnel in one minute, then the length of the tunnel will be 500 meter.
