Question . A House lies 5 miles north of a paved road that runs east- west. The nearest town lies 20 miles east on the main road . The owner of the house wants to build a dirt road from the these to the main road that will meet The main road at point X miles east of the point due south of the house . A car can travel 30 miles per hour on the distro and 50 miles per hour on the main road . The goal of this problem is to find the value of of that will minimize the travel time from the House to the town . -House 5 my Dirt road Main road Town a ) what is the distance from the house , at ( 0 . 5 ) to the point ( #.of On the main road ? b/ what is the distance from (x- 0) to town, (20.0) ? ( ) What is the total travel time Text for the trip from the house ? to the town as a function of x ? Reall that time - distance -speed d / Find the value of X that minimize Toy