 Hello and welcome to the session. In this session we are going to discuss the following question and the question says that the speed of train is 100 kms per hour. What is the speed in meters per second? Let us proceed with the solution. We are given that the speed of train is 100 kms per hour and we have to find its speed in meters per second. Our first step is to identify initial and desired units. In this question we have to find speed in meters per second when speed in kms per hour is given. It means we have to convert kms into meters and hours into seconds. So here initial units are kms per hour and desired units are meters per second. So now our next step will be to identify the unit path. Here we will convert kms into meters and hours into minutes and then into seconds. So the path followed will be kms per hour to meters per minute to minutes per second to meters per second. So here our initial quantity is 100 kms per hour and the desired quantity will be in meters per second. So the unit path will be written like this. So our next step will be to write the unit path using equivalents as conversion factors to obtain desired unit. We know 1 km is equal to 1000 meters, 1 hour is equal to 60 minutes and 1 minute is equal to 60 seconds. From 1 we have 1 km upon 1000 meters is equal to 1 or 1000 meters upon 1 km is equal to 1. From 2 we have 1 hour upon 60 minutes is equal to 1 or 60 minutes upon 1 hour is equal to 1. And from 3 we have 1 minute upon 60 seconds is equal to 1 or 60 seconds upon 1 minute is equal to 1. So we will choose those conversion factors so that all other linking units and initial units cancel out. And we are left with the desired unit that is meters per second. So here is the desired unit path. See here we first convert km into meters using the conversion factor 1000 meters upon 1 km. And then we convert hours into minutes using the conversion factor 1 hour upon 60 minutes. And lastly we convert minutes into seconds by using the conversion factor 1 minute upon 60 seconds. Hence our last step is to treat units as numbers to obtain answer. For this we cancel the units and terms so that we are left with the desired units. So here let us try and cancel out the linking units and the initial units. In the obtained unit path km cancel with km, hours cancel with hours and minutes cancel with minutes. So the only units we are left with are meters per second which are the desired units. This implies 100 km per hour is equal to 100 into 1000 upon 60 into 60 meters per second. Which is equal to 1000 upon 36 meters per second. That is equal to 250 upon 9 meters per second. Which is equal to 27.777 meters per second. So the speed of the train is 27.8 meters per second which is our required answer. This completes our session. Hope you enjoyed this session.