document.write( "Question 773245: Maria drove to her grandmother’s house at an average speed of 60 miles per hour. On the way home, she averaged 45 miles per hour. If she spent a total of 3 hours and 30 minutes driving, how many miles is the trip to her grandmother’s house? \n" ); document.write( "
Algebra.Com's Answer #471382 by pakhi(24)\"\" \"About 
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Let the distance to Maria's grandmother's house be 'x' miles.
\n" ); document.write( "She drove to her grandmother's place at an average speed of 60miles/hr.
\n" ); document.write( "This means she covered 60 miles in 60 minutes.
\n" ); document.write( "So time she took in covering 'x' miles is (x/60)60 = x minutes
\n" ); document.write( "On her way home she spanned 45 miles in 60 minutes.
\n" ); document.write( "So time she took in covering 'x' miles is (x/45)60 = (4x)/3 minutes
\n" ); document.write( "So total time taken was x + (4x)/3 minutes
\n" ); document.write( "But total time taken was = 3 hours 30 minutes = 210 minutes
\n" ); document.write( "So x + (4x)/3 = 210
\n" ); document.write( "or (3x + 4x)/3 = 210
\n" ); document.write( "or 7x = 210 * 3
\n" ); document.write( "or x = 630/7 = 90\r
\n" ); document.write( "\n" ); document.write( "Therefore the distance to her grandmother's place is 90 miles.\r
\n" ); document.write( "\n" ); document.write( "check: Time taken in going = x minutes = 90 minutes
\n" ); document.write( " Time taken in coming back = (4x)/3 = 120 minutes
\n" ); document.write( " Total time = 90 + 120 = 210 minutes = 3 hrs 30 minutes\r
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