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:
Option 1: 125
Option 2: 150
Option 3: 100
Option 4: 115
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: 125
Solution : Time taken to cross each other = $\frac{\text{Sum of the lengths of two trains}}{\text{Relative speed}}$ Let the length of each train be $x$ meters. So, total length = $2x$ meters. Speed of 1st train = 30 km/h Speed of 2nd train = 45 km/h Relative speed = 45 – 30 = 15 km/h Converting this into m/sec, ⇒ $\frac{5}{18}×15=\frac{25}{6}$ m/sec. Time taken by the 2nd train to cross the 1st train completely = 60 seconds. Total length = time × relative speed. ⇒ $2x=60×\frac{25}{6}$ ⇒ $x=5×25$ = 125 meters. Hence, the correct answer is 125.
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, 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 150 m long passes a km stone in 30 seconds and another train, of the same length and travelling in the opposite direction, in 10 seconds. The speed of the second train is:
Question : Two trains, 180 meters and 120 meters in length, are running towards each other on parallel tracks, one at the rate of 65 km/h and another at 55 km/h. In how many seconds will they be clear of each other from the moment they meet?
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:
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