Jun can paint a room in 4 hours and Arnold can do it in 7 hours. What part of the job they do by working for x hours?
Question
Jun can paint a room in 4 hours and Arnold can do it in 7 hours. What part of the job they do by working for x hours?
Solution
Jun can paint a room in 4 hours, which means he can paint 1/4 of the room in 1 hour. Similarly, Arnold can paint a room in 7 hours, which means he can paint 1/7 of the room in 1 hour.
When they work together, their combined rate of work is (1/4 + 1/7) rooms per hour. This simplifies to 11/28 rooms per hour.
So, if they work together for x hours, they can paint 11/28 * x rooms. This is the part of the job they do by working for x hours.
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