Working alone, Ryan can dig a 10 ft by 10 ft hole in five hours. Castle can dig

Question

Working alone, Ryan can dig a 10 ft by 10 ft hole in five hours. Castle can dig the same hole in six hours. How long would it take them if they work together? Let x= # of hours to dig the hole (to set it up) (find a common denominator) 1/5x + 1/6x= 1 Working alone, Ryan can dig a 10 ft by 10 ft hole in five hours. Castle can dig the same hole in six hours. How long would it take them if they work together? Let x= # of hours to dig the hole (to set it up) (find a common denominator) (find a common denominator) 1/5x + 1/6x= 1

Explanation / Answer

6/30x + 5/30x = 1 add together 11/30x = 1 multiply both sides by 30 11x = 30 divide both sides by 11 x = 30/11 x = 2.72727272 hours to go further, multiply 60 by .72727272 which is 43.63636363 (which gives you minutes) which comes to 2 hours and 43.63636363 minutes even further would be to multiply 60 by .63636363 which is 38.1818178 (which gives you seconds) which comes to 2 hours, 43 minutes, 38.18 seconds

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