passenger sitting in a train A moving at 90 km/ h observes another train B moving in the opposite direction for 8 s. If the velocity of the train B is 54 km/h, then length of train B is :
Question
passenger sitting in a train A moving at 90 km/ h observes another train B moving in the opposite direction for 8 s. If the velocity of the train B is 54 km/h, then length of train B is :
Solution
To solve this problem, we first need to find the relative speed of the two trains. Since they are moving in opposite directions, we add their speeds together.
Step 1: Convert the speeds from km/h to m/s because the final answer is required in meters. We know that 1 km/h = 5/18 m/s. So, the speed of train A in m/s is 90*(5/18) = 25 m/s and the speed of train B in m/s is 54*(5/18) = 15 m/s.
Step 2: Calculate the relative speed of the two trains. Since they are moving in opposite directions, we add their speeds together. So, the relative speed is 25 m/s + 15 m/s = 40 m/s.
Step 3: The length of the train B can be found by multiplying the time it was observed by the relative speed. The time given in the problem is 8 seconds. So, the length of train B is 40 m/s * 8 s = 320 meters.
So, the length of train B is 320 meters.
Similar Questions
A train overtakes two persons walking along a railway track. The first one walks at 4.5 km/hr. The other one walks at 5.4 km/hr. The train needs 8.4 and 8.5 seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?
two trains, each 100m long, moving in opposite directions, cross each other in 8 seconds. if one train is moving twice as fast as the other, then find the speed of the faster train in kilometers
Two trains are moving in opposite directions at 80 km/h and 64 km/h. Their lengths are 2.1 km and 1.9 km respectively. What is the time taken by the slower train to cross the faster train (in seconds)?
A train 150 m long is running at a speed of 68 kmph. How long does it take to pass a man who is running at 8 kmph in the same direction as the train?
A train traveling at 48 kmph completely crosses another train having half its length and travelling in the opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. The length of the platform is
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.