Question
Download Solution PDFTwo trains, each 180 m long, are moving towards each other on parallel tracks at speeds of 50 km/hr and 70 km/hr. In how many seconds will they completely cross each other?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Length of each train = 180 m
Speed of first train = 50 km/hr
Speed of second train = 70 km/hr
Formula used:
Relative speed when two objects move towards each other = Speed of first object + Speed of second object
Time taken to cross each other = Total distance / Relative speed
Calculation:
Relative speed = 50 km/hr + 70 km/hr
⇒ Relative speed = 120 km/hr
Convert speed to m/s:
⇒ 120 km/hr = 120 × (1000/3600) m/s
⇒ 120 km/hr = 33.33 m/s
Total distance = Length of first train + Length of second train
⇒ Total distance = 180 m + 180 m
⇒ Total distance = 360 m
Time taken to cross each other = Total distance / Relative speed
⇒ Time taken = 360 m / 33.33 m/s
⇒ Time taken = 10.8 seconds
∴ The correct answer is option (3).
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