If Michael can shovel all the snow of a standard driveway in 12 minutes, and Emon can shovel all the snow of a standard driveway in 36 minutes, then working together, how many minutes would it take for them both to shovel all the snow of a standard driveway?
To find how long it would take for Michael and Emon to shovel the snow together, you can use the concept of their combined work rates.
Let M be Michael's work rate (driveways per minute) and E be Emon's work rate (driveways per minute).
Michael can shovel one driveway in 12 minutes, so his work rate is:
M = 1 driveway / 12 minutes = 1/12 driveways per minute
Emon can shovel one driveway in 36 minutes, so his work rate is:
E = 1 driveway / 36 minutes = 1/36 driveways per minute
When they work together, their combined work rate is the sum of their individual work rates:
Combined Work Rate = M + E = (1/12 + 1/36) driveways per minute
Now, find a common denominator to add the fractions:
Combined Work Rate = (3/36 + 1/36) driveways per minute = 4/36 driveways per minute
Simplify the fraction:
Combined Work Rate = 1/9 driveways per minute
Now that you know their combined work rate, you can calculate how long it would take for them to shovel one standard driveway together:
Time = 1 driveway / Combined Work Rate = 1 / (1/9) = 9 minutes
So, it would take Michael and Emon 9 minutes to shovel all the snow of a standard driveway together.
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