it john 4 hours to mow a lawn it takes maria 3 hours to mow the same lawn, how long would it take if they worked together?
well, if they mowed for 12 hours, they would cut 3+4=7 lawns.
rate=7lawns/12 hours
1lawn=rate*time=7/12 lawns/hr*time
time= 12/7 hrs or 1 5/7 hr
John mows lawn in 4 hrs or .25 lawn in 1 hr. Maria mows lawn in 3 hrs or .333 lawn in 1 hr. So in one hour they (combined) mow .25 + .333= .583 lawn(assuming they don't remow each others sections, lol)
1/.583 is 1.715hr
John should just go home and let maria do it all.
To find out how long it would take John and Maria to mow the lawn together, we need to calculate their combined work rate.
First, let's find John's work rate. We know that it takes him 4 hours to mow the lawn, so in 1 hour, he can mow 1/4th of the lawn (1 lawn / 4 hours = 1/4th lawn/hour).
Next, let's find Maria's work rate. We are given that it takes her 3 hours to mow the same lawn, so in 1 hour, she can mow 1/3rd of the lawn (1 lawn / 3 hours = 1/3rd lawn/hour).
To find their combined work rate, we simply add their individual work rates. So, John and Maria together can mow (1/4th + 1/3rd) of the lawn in 1 hour.
To simplify this fraction, we need a common denominator, which is 12. So, the combined work rate is (3/12 + 4/12) = 7/12th of the lawn/hour.
Finally, to find the time it would take for John and Maria to mow the lawn together, we divide the amount of work (1 lawn) by their combined work rate (7/12th lawn/hour).
(1 lawn) / (7/12th lawn/hour) = 12/7 hours
Therefore, it would take John and Maria approximately 12/7 hours or approximately 1.71 hours to mow the lawn together.