Home » Aptitude » Problem on Trains » Question
Let the speeds of two trains be x and y, respectively . ∴ Length of 1st train = 54x Length of the 2nd train = 34y According to the question. (54x + 34y) / (x + y) = 46⇒ 54x + 34y = 46x + 46y ⇒ 27x + 17y = 23x + 23y ⇒ 4x = 6y ⇒ x/y = 3/2 ∴ x : y = 3 : 2
15 Qs. 45 Marks 15 Mins
Given: Two train crosses the man in 25 seconds and 32 seconds respectively. Two trains running in opposite direction and they crosses each other in 30 second When two running object moving in opposite direction their relative speed = Sum of their speed Concept Used: Calculation: Let, the speed of the 1st train be x m/sec and that of the 2nd train is y m/sec When a train crosses a standing man it cross its won length 1st train cross the man in 25 second ⇒ Length of 1st train is 25x meter 2nd train cross the man in 32 seconds ⇒ Length of the 2nd train is 32y meter Relative speed of two trains is (x + y) m/sec In 30 seconds they cross each other ⇒ In 30 seconds the cross 30(x + y) meter Accordingly, 30(x + y) = 25x + 32y ⇒ 30x + 30y = 25x + 32y ⇒ 30x - 25x = 32y - 30y ⇒ 5x = 2y ⇒ x/y = 2/5 ⇒ x : y = 2 : 5 ∴ The ratio of speed of two trains is 2 : 5. India’s #1 Learning Platform Start Complete Exam Preparation
Video Lessons & PDF Notes Trusted by 2,80,99,886+ Students
Here we will learn about the concept of two trains passes in the opposite direction. When two train passes a moving object (having some length) in the opposite direction Let length of faster train be l meters and length of slower train be m meters Let the speed of faster train be x km/hr Relative speed = (x + y) km/hr. Then, time taken by the faster
train to pass the slower train = (l
+ m) meters/(x + y) km/hr Now we will learn to calculate when two trains running on parallel tracks (having some length) in the opposite direction. Solved examples when two trains passes (having some length) in the opposite direction: 1. Two trains of length 150 m and 170 m respectively are running at the speed of 40 km/hr and 32 km/hr on parallel tracks in opposite directions. In what time will they cross each other? Solution: Relative speed of train = (40 + 32) km/hr = 72 km/hr = 72 × 5/18 m/sec = 20 m/sec Time taken by the two trains to cross each other = sum of length of trains/relative speed of trains = (150 + 170)/20 sec = 320/20 sec = 16 sec Therefore, the two trains crossed each other in 16 seconds. 2. Two trains 163 m and 187 m long are running on parallel tracks in the opposite directions with a speed of 47 km/hr and 43 km/hr in. How long will it take to cross each other? Solution: Relative speed of train = (47 + 43) km/hr = 90 km/hr = 90 × 5/18 m/sec = 25 m/sec Time taken by the two trains to cross each other = sum of length of trains/relative speed of trains = (163 + 187)/25 sec = 350/25 sec = 14 sec Therefore, the two trains crossed each other in 14 seconds. Speed of Train Relationship between Speed, Distance and Time Conversion of Units of Speed Problems on Calculating Speed Problems on Calculating Distance Problems on Calculating Time Two Objects Move in Same Direction Two Objects Move in Opposite Direction Train Passes a Moving Object in the Same Direction Train Passes a Moving Object in the Opposite Direction Train Passes through a Pole Train Passes through a Bridge Two Trains Passes in the Same Direction Two Trains Passes in the Opposite Direction 8th Grade Math Practice From Two Trains Passes in the Opposite Direction to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
|
Two trains running in opposite direction cross each other
zusammenhängende Posts
Urheberrechte © © 2024 wiewird Inc.
