Frank can mow his yard in 45 minutes, but Joe can mow his yard, which is 40% larger than Frank's, in an hour. How long would it take them, working together, to mow both lawns? Express your answer as mm:ss, where mm is the number of minutes and ss is the number of seconds, rounded to the nearest whole number, it would take them.

 Jun 30, 2018

Let the size of Frank's yard = y Sq. feet
Then, Joe's yard =1.4y Sq. feet
2.4y / [y/45 + 1.4y/60 ] =m, solve for m
m =2,160/41 =52 + 28/41 minutes =52: 41 Time it takes both men to mow their combined yards.

 Jun 30, 2018

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