Shortcut Trick
Speed in m/s = 36 × 5/18 = 10 m/s.
Length of Train = Speed × Time = 10 × 25 = 250 m.
Total Distance to cross bridge = Train length + Bridge length = 250 + 250 = 500 m.
Required Time = Total Distance ÷ Speed = 500 ÷ 10 = 50 seconds.
∴ The correct answer is 50 seconds.
Alternate Method
Given:
Speed of train = 36 km/h
Time to cross pole (t1) = 25 seconds
Length of bridge (Lb) = 250 m
Formula Used:
Speed (m/s) = Speed (km/h) × 5/18
Distance = Speed × Time
Calculations:
⇒ Speed of train = 36 × (5/18) = 10 m/s
⇒ Length of train (Lt) = Speed × Time to cross pole
⇒ Lt = 10 × 25 = 250 m
⇒ Total distance to cross bridge = Lt + Lb
⇒ Total distance = 250 + 250 = 500 m
⇒ Time to cross bridge = Total distance ÷ Speed
⇒ Time = 500 ÷ 10 = 50 seconds
∴ The correct answer is 50 seconds.
Additional Information
Unit Conversion
To convert km/h to m/s, multiply by 5/18. To convert m/s to km/h, multiply by 18/5.
Relative Speed
When two objects move in the same direction, relative speed = S1 − S2. In opposite directions, relative speed = S1 + S2.
Crossing Stationary Objects
Total distance = Length of train + Length of object (If object is a point like a pole or man, its length is taken as 0).