Question : Two trains 100 metres and 95 metres long, respectively pass each other in 27 seconds when they run in the same direction and in 9 seconds when they run in opposite directions. The speeds of the two trains are:
Option 1: 44 km/hr, 22 km/hr
Option 2: 52 km/hr, 26 km/hr
Option 3: 36 km/hr, 18 km/hr
Option 4: 40 km/hr, 20 km/hr
New: SSC MTS 2024 Application Form OUT; Direct Link
Don't Miss: Month-wise Current Affairs | Upcoming Government Exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 52 km/hr, 26 km/hr
Solution : Let the speed of the first train be $x$ km/hr and the speed of the second train is $y$ km/hr. Time = $\frac{\text{Total distance}}{{\text{Relative speed in same/Opposite direction}}}$ In the same direction, ⇒ $27=\frac{100+95}{(x-y)×\frac{5}{18}}$ ⇒ $27=\frac{195×18}{5(x-y)}$ ⇒ $x-y=26$ ----------------(i) In the opposite direction, ⇒ $9=\frac{100+95}{(x+y)×\frac{5}{18}}$ ⇒ $9=\frac{195×18}{5(x+y)}$ ⇒ $x+y=78$ ------------------(ii) Solving equation (i) and (ii), we get, $x=52,$ and $y=26$ Hence, the correct answer is 52 km/hr and 26 km/hr.
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
Question : Two trains 150 m and 120 m long respectively moving from opposite directions cross each other in 10 seconds. If the speed of the second train is 43.2 km/hr, then the speed of the first train is:
Question : Two trains are moving in the same direction at the speed of 44 km/hr and 70 km/hr. The time taken by a faster train to cross a man sitting in the slower train is 72 seconds. What will be the length of the faster train?
Question : Two boats are travelling at the speed of 36 km/hr and 54 km/hr respectively towards each other. What will be the distance between the two boats one second before they collide?
Question : A 900-metre-long train crosses a 1200 metres long platform completely in 70 seconds. What is the speed of the train?
Question : Train P crosses train Q completely in 45 seconds while running in opposite directions. The lengths of train P and train Q are 1200 metres and 1500 metres respectively. The speed of train Q is 144 km/hr. In how much time can train P to cross an 1800 metres long
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile