Question : On parallel tracks, two trains of equal length are moving at speeds of 46 and 36 kilometres per hour in the same direction. In 36 seconds, the quicker the train overtakes the slower one. The length of each train is:
Option 1: 60 metres
Option 2: 50 metres
Option 3: 56 metres
Option 4: 52 metres
New: SSC CHSL tier 1 answer key 2024 out | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 50 metres
Solution : Let the length of the trains be $x$ metre each. So, the distance to be covered = 2$x$ Now the trains are running in the same direction. So, their relative speed = (46 − 36) kilometres per hour = 10 kilometres per hour = $\frac{10\times{5}}{18}$ metres per second = $\frac{25}{9}$ metres per second So, the time taken by the trains to cover 2$x$ metre distance = $\frac{2x}{\frac{25}{9}}$ seconds By the given conditions, $2x = {\frac{25}{9}}× 36$ seconds $\therefore x = 50$ metres So, the length of each train is 50 metres. Hence, the correct answer is 50 metres.
Candidates can download this e-book to give a boost to thier preparation.
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Question : Two trains of the same length are running on parallel tracks in the same direction at the speeds of 60 km/h and 90 km/h, respectively. The latter completely crosses the former in 30 seconds. The length of each train (in meters) is:
Question : Two trains, each of length 125 metres, are running in parallel tracks in opposite directions. One train is running at a speed of 65 km/hr and they cross each other in 6 seconds. The speed of the other train is:
Question : A train of length 300 metres crosses a tree in 20 seconds and crosses another train of the same length travelling in the opposite direction in 25 seconds. What is the speed of the second train?
Question : Two trains 320 m and 205 m in length are running towards each other on parallel lines. One train runs at the rate of 70 kmph and the other train runs at the rate of 56 kmph. Find the time they will take to cross each other (in seconds).
Question : A train travelling at 80 km/hr crosses another train travelling in the same direction at 26 km/hr in 30 seconds. What is the combined length of both the trains?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile