JOHN MOWS HIS LAWN IN 6 HRS,WHEREAS JANE MOWS SAME LAWN IN 3 HRS?? MY QUESTION IS HOW MUCH TIME WOULD IT TAKE FOR BOTH TO MOW THE LAWN TOGETHER???
John --- 1/6 lwn/hr
Jane --- 1/3 lwn/hr
1/6 + 2/6 = 3/6 = 1/2 lwn/hr
so 2 hours
THANK YOU!!!
THANK YOU DAMON MERRY CHRISTMAS<<<<
Merry Christmas :)
To find out how much time it would take for John and Jane to mow the lawn together, you can use the concept of work rates. Work rate is the amount of work completed in a specific amount of time.
Let's calculate the work rate for John and Jane individually:
- John mows the entire lawn in 6 hours, so his work rate is 1/6 of the lawn per hour.
- Jane mows the entire lawn in 3 hours, so her work rate is 1/3 of the lawn per hour.
To find the combined work rate of John and Jane when they work together, you simply add their individual work rates:
1/6 + 1/3 = (1/6) + (2/6) = 3/6 = 1/2
So, when they work together, their combined work rate is 1/2 of the lawn per hour.
Now, to calculate the time it would take for both John and Jane to mow the lawn together, you can use the formula:
Time = Work / Rate
In this case, the work is equivalent to 1 full lawn, and the rate is 1/2 lawn per hour.
Time = 1 / (1/2) = 1 * (2/1) = 2 hours
Therefore, it would take John and Jane 2 hours to mow the lawn together.