{"id":34876,"date":"2023-10-17T12:33:57","date_gmt":"2023-10-17T07:03:57","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=34876"},"modified":"2023-11-10T11:40:11","modified_gmt":"2023-11-10T06:10:11","slug":"train-passes-a-moving-object-in-the-opposite-direction","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/train-passes-a-moving-object-in-the-opposite-direction\/","title":{"rendered":"Train Passes a Moving Object in the Opposite Direction | How to find Speed, Time and Distance?"},"content":{"rendered":"

Are you looking for help on the concept Train Passes a Moving Object in the Opposite Direction? Then you have reached the right place. Learn the Formulas for Speed Time and Distance<\/strong> in the case of a train crossing a moving body in the opposite direction. Get Solved Examples for finding the Train Crossing a Moving Object in Opposite Direction long with detailed solutions. Practice the Problems available and get a good hold of the concept.<\/p>\n

How to calculate Time Speed and Distance for Train Crossing a Moving Object in Opposite Direction?<\/h2>\n

Let us assume the length of the train = l m<\/p>\n

Speed of the train =\u00a0 x km\/hr<\/p>\n

Speed of the object = y km\/hr<\/p>\n

Relative Speed = (x+y) km\/hr<\/p>\n

Time taken by train to cross the moving object = Distance\/Speed<\/p>\n

= l m\/(x+y) km\/hr<\/p>\n

Simply rearrange the formula to obtain the other measures if few are known.<\/p>\n

Solved Problems on Train Passes a Moving Object in the Opposite Direction<\/h3>\n

1. A train 200 m long is running at a speed of 50 km\/hr. In what time will it pass a man who is running at the speed of 4 km\/hr in the opposite direction in which the train is moving?<\/p>\n

Solution:<\/p>\n

Length of the Train = 200 m<\/p>\n

Speed of the Train = 50 km\/hr<\/p>\n

Speed of Man = 4 km\/hr<\/p>\n

Relative Speed = (50+4) Km\/hr<\/p>\n

= 54 km\/hr<\/p>\n

Time taken by train to cross a man = Distance\/Relative Speed<\/p>\n

= 200 m\/54 Km\/hr<\/p>\n

= 200 m\/ (54*5\/18) m\/sec<\/p>\n

= 200 m\/15 m\/sec<\/p>\n

= 13.33 sec<\/p>\n

Therefore, the train takes 13.33 sec to cross the man.<\/p>\n

2. Two trains 125 meters and 170 meters long are running in the opposite direction with speeds of 60 km\/hr and 45 km\/hr. In how much time they will cross each other?<\/p>\n

Solution:<\/p>\n

Total Distance Covered = 125+170<\/p>\n

= 295 m<\/p>\n

Speed of first train = 60 kmph<\/p>\n

Speed of second train = 45 kmph<\/p>\n

Relative Speed = 60+45<\/p>\n

= 105 kmph<\/p>\n

Relative Speed in m\/sec = 105*5\/18<\/p>\n

= 29.1 m\/sec<\/p>\n

Time taken by trains to cross each other = Distance\/Speed<\/p>\n

=295m\/29.1 m\/sec<\/p>\n

= 10.1 sec<\/p>\n

Therefore, it takes 10.1 sec for both the trains to cross each other.<\/p>\n

3. Two trains running in opposite directions cross a man standing on the platform in 30 seconds and 21 seconds respectively and they cross each other in 25 seconds. The ratio of their speeds is?<\/p>\n

Solution:<\/p>\n

Let us consider the speed of two trains be x m\/sec and y m\/sec<\/p>\n

Length of the first train = 30x m(since distance = Speed*Time)<\/p>\n

Length of the second train = 21y m<\/p>\n

From the given data<\/p>\n

Time taken by both trains to cross each other = 25 sec<\/p>\n

(30x+21y)\/(x+y) = 25<\/p>\n

30x+21y = 25x+25y<\/p>\n

30x-25x = 25y-21y<\/p>\n

5x=4y<\/p>\n

x\/y = 4\/5<\/p>\n

Therefore, the Ratio of Speeds is 4:5<\/p>\n","protected":false},"excerpt":{"rendered":"

Are you looking for help on the concept Train Passes a Moving Object in the Opposite Direction? Then you have reached the right place. Learn the Formulas for Speed Time and Distance in the case of a train crossing a moving body in the opposite direction. Get Solved Examples for finding the Train Crossing a … Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[5],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/34876"}],"collection":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/comments?post=34876"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/34876\/revisions"}],"predecessor-version":[{"id":92695,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/34876\/revisions\/92695"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=34876"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=34876"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=34876"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}