{"id":34873,"date":"2023-10-17T12:32:41","date_gmt":"2023-10-17T07:02:41","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=34873"},"modified":"2023-11-10T11:40:20","modified_gmt":"2023-11-10T06:10:20","slug":"train-passes-a-moving-object-in-the-same-direction","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/train-passes-a-moving-object-in-the-same-direction\/","title":{"rendered":"Train Passes a Moving Object in the Same Direction | Problems on Train Crossing a Moving Body in Same Direction"},"content":{"rendered":"

Gain complete knowledge on the concept Train Passes a Moving Object in the Same Direction. Learn related formulas like Speed, Time and Distance<\/strong> when a train passes through a moving object in the Same Direction. Get the Step by Step Procedure along with a detailed explanation for the entire concept. Solve Problems on Train Passing a Moving Object in the Same Direction and understand the concept behind them easily.<\/p>\n

How to find Time Speed and Distance when a Train Passes a Moving Object in the Same Direction?<\/h2>\n

Follow the guidelines for calculating the Time Speed and Distance when a Train Passes a Moving Body in the Same Direction. They are as such<\/p>\n

Let us consider the length of the train as l mt and the speed of the train is 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 the train to cross a moving object in the same direction is = Distance\/ Relative Speed<\/p>\n

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

You can rearrange the equation and find whichever measure you need as a part of your work.<\/p>\n

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

1. A train 150 m long is running at a speed of 50 km\/hr. At what time will it pass a man who is running at the speed of 5 km\/hr in the same direction in which the train is moving?<\/p>\n

Solution:<\/p>\n

Length of the Train = 150 m<\/p>\n

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

Speed of the Man = 5 km\/hr<\/p>\n

Relative Speed = Speed of Train – Speed of Man<\/p>\n

= 50 – 5<\/p>\n

= 45 km\/hr<\/p>\n

= 45 *5\/18<\/p>\n

= 12.5 m\/sec<\/p>\n

Time Taken by Train to Cross the Man = Distance\/Speed<\/p>\n

= 150 m\/12.5 m\/sec<\/p>\n

= 12 sec<\/p>\n

Therefore, Train takes 12 sec to cross the man.<\/p>\n

2. Two trains 110 meters and 140 meters long are running in the same direction with speeds of 70 km\/hr and 55 km\/hr. In how much time will the first train cross the second?<\/p>\n

Solution:<\/p>\n

Distance Covered = 110+140<\/p>\n

= 250 meters<\/p>\n

Speed of first train = 70 km\/hr<\/p>\n

Speed of second train = 55 km\/hr<\/p>\n

Relative Speed = (70 – 55)<\/p>\n

= 15 km\/hr<\/p>\n

Relative Speed in m\/sec = 15*5\/18<\/p>\n

= 4.1 m\/sec<\/p>\n

Time taken by first train to cross second = Distance\/Speed<\/p>\n

= 250 m\/4.1 m\/sec<\/p>\n

= 60.9 sec<\/p>\n

Therefore, the first train takes 60.9 sec to cross the second train.<\/p>\n

3. A train running at 60 kmph takes 30 seconds to pass a platform. Next, it takes 10 seconds to pass a man walking at 5 kmph in the same direction in which the train is going. Find the length of the train and the length of the platform?<\/p>\n

Solution:<\/p>\n

Let us consider the length of the train and length of the platform as x and y<\/p>\n

Distance traveled by train while crossing the platform is x+y<\/p>\n

Time taken to cross the platform is 30 sec<\/p>\n

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

= 60 *5\/18<\/p>\n

= 16.66 m\/sec<\/p>\n

Time taken by train to cross the platform is<\/p>\n

Time = Distance\/Speed<\/p>\n

30 =(x+y)\/16.66\u00a0 …….(1)<\/p>\n

Time taken by train to cross the platform next = 10 sec<\/p>\n

Speed of the man = 5 kmph<\/p>\n

Relative Speed = 60 kmph – 5 kmph<\/p>\n

= 55 kmph<\/p>\n

= 55 *5\/18<\/p>\n

= 15.2 m\/sec<\/p>\n

Time taken by train to cross the man is<\/p>\n

Time = Distance\/Speed<\/p>\n

10 sec = x\/(15.2 m\/sec)<\/p>\n

x =\u00a0 152.7 m<\/p>\n

By applying the value of x in equation 1 we have<\/p>\n

30 =(152.7+y)\/16.66<\/p>\n

499.8 = 152.7+y<\/p>\n

y = 347.1 m<\/p>\n

Hence the length of the train and platform are 152.7 m and 347.1 m respectively.<\/p>\n","protected":false},"excerpt":{"rendered":"

Gain complete knowledge on the concept Train Passes a Moving Object in the Same Direction. Learn related formulas like Speed, Time and Distance when a train passes through a moving object in the Same Direction. Get the Step by Step Procedure along with a detailed explanation for the entire concept. Solve Problems on Train Passing … 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\/34873"}],"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=34873"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/34873\/revisions"}],"predecessor-version":[{"id":92696,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/34873\/revisions\/92696"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=34873"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=34873"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=34873"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}