document.write( "Question 1162989: Mrs. Smith drove her daughter to school at an average rate of 45 miles per hour. She returned home by the same route at an average rate of 30 miles per hour. If the trip took one-half hour, How long did it take to get to school? How far is the school from their home? \n" ); document.write( "
Algebra.Com's Answer #786929 by greenestamps(13203)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The distances to and from school are the same. So, since the ratio of the two speeds is 45:30 = 3:2, the ratio of times at the two speeds is 2:3. \n" ); document.write( "So 2/5 of the total 1/2 hour was spent driving to school; that's 1/5 of an hour, or 12 minutes. \n" ); document.write( "That makes the distance to school (1/5 hour)*(45mph) = 9 miles. \n" ); document.write( " \n" ); document.write( " |