Question

Worker A could paint a whole room in 2 hours. Worker B could paint a whole room in 3 hours.

How many parts of the room could both of them paint in 1 hour if worker A and worker B worked together.
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Answer 1

half of room because worker A can paint fast so he will paint fast

Answer 2

5/6 of the room would be painted if both of them painted the room together in 1 hour

Explanation:

Work done by A in 1hour=1/2

Work done by B in 1hour=1/3

Therefore total work done by both in 1hr=1/2+1/3

LCM of 2 and 3 is 6

therefore 1/2+1/3=3/6+2/6=5/6