A person can plow out all the driveways on his street with his new four-wheel-drive truck in 6 hours. using a snow blade on a lawn tractor, his neighbor can plow out the same number of driveways in 10 hours. how long would it take them to do the work together?
it will take x hours, where
1/x = 1/6 + 1/10
now just find x
A rectangular sandbox is surrounded on all sides by a strip of grass that is 5 feet wide on all sides. The length of the sandbox is 4 feet more than the width, and the
total area for the sandbox and the grass is 189 square feet. Find the dimensions of the sandbox.
If the width is w, then the length is w+4
Now, they have told you that
(w+10)(w+4+10) = 189
so finish it off.
check for typos, since the dimensions are apparently not integers.
To find out how long it will take for the person and his neighbor to plow the driveways together, we can use the concept of work rate.
First, let's calculate the work rate of the person with the four-wheel-drive truck. If he can complete the job in 6 hours, his work rate is 1/6th of the job per hour. This means he can complete 1 driveway per every 6 hours.
Now, let's calculate the work rate of the neighbor with the lawn tractor. If he can complete the job in 10 hours, his work rate is 1/10th of the job per hour. This means he can complete 1 driveway per every 10 hours.
To determine the combined work rate of both of them working together, we can add their individual work rates. So the combined work rate is (1/6) + (1/10) = (5/30) + (3/30) = 8/30th of the job per hour.
Now, we can calculate how long it will take for them to complete the job together by taking the reciprocal of the combined work rate. So the time it will take them is 30/8 hours, which simplifies to 3.75 hours.
Therefore, it will take the person and his neighbor approximately 3.75 hours to plow all the driveways together.