Question
Download Solution PDFA train X starts from a place at a speed of 50km/hr. After one hour another train Y starts from the same place at the speed 70 km/hr. After how much time will Y cross X, after starting of X?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Speed of train X = 50 km/hr.
Speed of train Y = 70 km/hr.
Train Y starts 1 hour after train X.
Formula Used:
Relative speed = Speed of train Y - Speed of train X
Distance = Speed × Time
Calculation:
Distance covered by train X in 1 hour = 50 km.
Relative speed = 70 km/hr - 50 km/hr = 20 km/hr
Time taken by train Y to cover the distance of 50 km with relative speed 20 km/hr:
Distance = Relative speed × Time
⇒ 50 km = 20 km/hr × Time
⇒ Time = 50 km / 20 km/hr
⇒ Time = 2.5 hours
So, train Y will cross train X in \(2\frac{1}{2}\) hours after the starting of train X.
The correct answer is option 2.
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