Question
Download Solution PDFTwo trains are moving in the opposite direction at the speed of 15 km/hr and 60 km/hr, whose lengths are 640 metres and 360 metres respectively. What is the time taken by slower train to cross the faster train?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Speed of slower train = 15 km/hr
Speed of faster train = 60 km/hr
Length of slower train = 640 metres
Length of faster train = 360 metres
Formula used:
Relative speed of two trains moving in opposite directions = Speed of train 1 + Speed of train 2
Time taken to cross each other = \(\dfrac{Total\ length}{Relative\ speed}\)
Calculations:
Relative speed = 15 km/hr + 60 km/hr
⇒ Relative speed = 75 km/hr
Converting km/hr to m/s:
⇒ Relative speed = 75 × 5/18 m/s
⇒ Relative speed = 20.83 m/s
Total length = 640 m + 360 m
⇒ Total length = 1000 m
Time taken to cross each other = \(\dfrac{1000}{20.83}\) seconds
⇒ Time taken ≈ 48 seconds
∴ The correct answer is option 2.
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