Question 266905
If John can mow 3 yards in 2 hours, then
he can mow 1 yard in 2/3 hr, because
(1 yards)/(2/3)hrs = 3 yard/2 hrs
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If Sally can mow 4 yards in 3 hrs, then
she can mow 1 yard in 3/4 hrs, since
(1 yards)/(3/4)hrs = 4 yard/3 hrs
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Working together, I add their rate of working
{{{3/2 + 4/3 = 2/x}}}
Multiply both sides by {{{6x}}}
{{{9x + 8x = 12}}}
{{{17x = 12}}}
{{{x = 12/17}}} hrs