Question
Download Solution PDFA truck, 1550 metres long is running at a speed of 106 km/hr. How many seconds will it take to cross a 1450 metres long train running in the same direction at a speed of 76 km/hr?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Length of truck (Ltruck) = 1550 m
Speed of truck (Struck) = 106 km/hr
Length of train (Ltrain) = 1450 m
Speed of train (Strain) = 76 km/hr
Formula used:
Relative speed when moving in the same direction = Struck - Strain
Time to cross = (Ltruck + Ltrain) / Relative Speed
Calculation:
Relative Speed = Struck - Strain
⇒ Relative Speed = 106 - 76 = 30 km/hr
⇒ Relative Speed = 30 × (5 / 18) = 25/3 m/s
Time to cross = (Ltruck + Ltrain) / Relative Speed
⇒ Time = (1550 + 1450) / (25/3)
⇒ Time = 3000 × (3/25)
⇒ Time = 360 seconds
∴ The correct answer is option (4).
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