document.write( "Question 1131129: Bob can plant a garden by her self in 10 hours. When her son Andrew helps her the total time it takes them to plant the garden is 4 hours. How long would it take Andrew to plant the garden himself \n" ); document.write( "
Algebra.Com's Answer #747761 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Here is an alternative to the standard method for solving \"working together\" problems that the other two tutors have shown. \n" ); document.write( "Consider the least common multiple of the two times given, 4 hours and 10 hours. The least common multiple is 20 hours. \n" ); document.write( "Bob can plant a garden in 10 hours, so in 20 hours she can plant 2 of those gardens. \n" ); document.write( "Together, Bob and her son Andrew can plant the garden in 4 hours, so in 20 hours together they could plant 5 of those gardens. \n" ); document.write( "So in those 20 hours Bob can plant 2 of the gardens, and Bob and Andrew together can plant 5 of them; that means in 20 hours Andrew alone can plant 3 of them. \n" ); document.write( "And so the time Andrew alone takes to plant the one garden is 20/3 hours, or 6 2/3 hours. \n" ); document.write( " |