The least common multiple that is divisible by both a and b is the smallest positive integer. It will take 4/5 hours for Jerry and Jake to frame a room working together.
What is LCM?
The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.
Jerry can frame a room in 1 hour. Therefore, the rate at which Jerry frame the room is,
Rate of Jerry = 1/1 room per hour
= 1 room per hour
Jake can frame a room in 4 hours. Therefore, the rate at which Jake can frame the room is,
Rate of Jake = 1/4 room per hour
Now, the rate at which they two will work together is,
Rate of working together = 1 + 1/4 room per hour
= 5/4 room per hour
Further, the time it will take for the two of them to frame a room working together is,
Time = 1/Rate
= 4/5 hour
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