Question 1151378
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Here an alternative to the standard algebraic solution method shown by the other tutor.<br>
Consider the least common multiple of the two given times; the LCM of 8 hours and 10 hours is 40 hours.<br>
Hannah, taking 10 hours to paint a room, could paint 40/10=4 rooms in 40 hours; Destiny, taking 8 hours to paint a room, could paint 40/8=5 rooms in 40 hours.<br>
So together in 40 hours the two of them together could paint 4+5=9 rooms.<br>
And that means the number of hours it would take them together to paint the one room is 40/9.<br>
ANSWER: 40/9 hours; or 4 4/9 hours