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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
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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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