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Answer :
it would take Morgan 3/2 hours (or 1 hour and 30 minutes) to complete the yard alone.
Let's assume that Morgan's time to complete the yard alone is represented by "M" hours. We know that when Jay and Morgan work together, they finish the yard in 1 hour. In one hour, Jay completes 1/3 of the yard (since it takes him 3 hours alone), and Morgan completes 1/M of the yard.
When they work together, their combined efficiency adds up, so we can set up the equation:
1/3 + 1/M = 1.
To find M, we can solve this equation for M. Multiplying through by 3M gives:
M + 3 = 3M,
2M = 3,
M = 3/2.
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