Answer :
amount of room hannah can paint in an hour = 1/20
amount of room destiny can paint in an hour = 1/16
number of hours = x
1/20x + 1/16x = 1
the reason why this formula is true is, the amount of the room painted in the end should be 1 (the whole room)
4/80x + 5/80x = 1
9/80x = 1
9x = 80
x = 80/9 hours
x = 8.89 hours
amount of room destiny can paint in an hour = 1/16
number of hours = x
1/20x + 1/16x = 1
the reason why this formula is true is, the amount of the room painted in the end should be 1 (the whole room)
4/80x + 5/80x = 1
9/80x = 1
9x = 80
x = 80/9 hours
x = 8.89 hours
The number of hours that it will take for both Hannah and Destiny to paint the room when they are working together is 9 8/9 hours.
Based on the information given, the fraction that can be painted by Hannah in an hour will be 1/20.
The fraction that can be painted by Destiny in an hour will be 1/16.
Therefore, the formula to solve the question will be:
1/20x + 1/16x = 1/1
4x + 5x = 80
9x = 80
Divide both side by 9
9x/9 = 80/9
x = 8 8/9 hours.
Therefore, it'll take them 8 8/9 hours to paint the room.
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