 Hi. Welcome to the session. I am Deepika here. Let's discuss the question. Represent the following situation in the form of quadratic equation. A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km per hour less, then it would have taken 3 hours more to cover the same distance. We need to find the speed of the train. We know that speed is equal to distance upon time or time is equal to distance upon speed. This is the key idea behind this question. We will use these formula to solve this question. Let's start the solution. Given distance is equal to 480 km at speed of train is equal to u km per hour. Therefore, time taken is equal to 480 upon u hours. The speed is 8 km per hour less that is u minus 8 km per hour. Then time taken is 480 upon u minus 8 hours. According to the question, time taken is 3 hours more that is 480 upon u minus 8 is equal to 480 upon u plus 3. This implies 480 upon u minus 8 is equal to 480 plus 3u upon u. This implies u into 480 is equal to u minus 8 into 480 plus 3u by cross multiplication. This implies 480 u is equal to 480 u plus 3u square minus 3840 minus 24u. We can rewrite this as 3u square plus 480 u minus 480 u minus 24u minus 3840 is equal to 0. On solving this we get 3u square minus 24u minus 3840 is equal to 0. u square minus 8u minus 1280 is equal to 0 dividing both side by 3. Therefore, the required equation is quadratic equation is u square minus 8u minus 1280 is equal to 0 where u in km per hour is the speed of the train. This is our answer. I hope the question is clear to you. Bye and have a good day.