Question
Download Solution PDFZ1 express and X1 Express are two trains of 675 m and 525 m long, run at the rate of 221 km/h and 211 km/h respectively on parallel rails. How many seconds will the first train take to cross the second train if they move in opposite directions to each other?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Length of Z1 Express = 675 m
Length of X1 Express = 525 m
Speed of Z1 Express = 221 km/h
Speed of X1 Express = 211 km/h
Formula used:
Time taken = Total distance / Relative speed
Relative speed (opposite direction) = Speed of Train 1 + Speed of Train 2
Calculation:
Relative speed = 221 + 211 = 432 km/h
Convert speed to m/s:
\(\text{432 km/h} = \frac{432 \times 1000}{3600} = 120\ \text{m/s}\)
Total distance = Length of Z1 Express + Length of X1 Express
Total distance = 675 + 525 = 1200 m
⇒ Time taken = Total distance / Relative speed
⇒ Time taken = \(\frac{1200}{120}\)
⇒ Time taken = 10 seconds
∴ The correct answer is option (2).
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