Question
Download Solution PDFA train crosses a pole in 12 sec, and a bridge of length 170 m in 36 sec. Then the speed of the train is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFFormula used:
Speed = Distance / Time
(1 m/s) × (18/5) = 1 km/hr
Shortcut Trick
If train cross its length in 12 seconds and 170 m bridge in (36 - 12 = 24) seconds.
Speed of train = [170/24] × [18/5] = 25.5 km/hr
Alternate Method
Let the length of the train be x m.
As we know,
Speed = Distance/time
Speed (v) = x/12
x = 12 v -----(1)
Again,
v = (x + 170)/36 -----(2)
From equation (1)
v = (12v + 170)/36
⇒ 36v = 12v + 170
⇒ 24v = 170
⇒ v = 170/24 m/s
⇒ v = (170/24) × (18/5) km/hr
∴ Speed = 25.5 km/hrLast updated on Jun 10, 2025
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