If Bill can now a lawn in 'x' hours, what part of the lawn can he now in 2 hours?
A) 2/x
B) x/2
C) 1/2
D) 1/x
Okay, so I've tried this one. I'm thinking, since I don't know how long it takes him to mow the lawn, I think you would divide x from 2? I'm not sure, please help me
Thunk of it using actual numbers. If he can mow the lawn in 4 hours, how much in 2 hours?
2/4
So, it will take him 2/x hours.
If it takes him x hours, he does 1/x of the job in 1 hour. So, twice that, or 2/x in 2 hours.
To determine what part of the lawn Bill can mow in 2 hours, we can use the concept of time and work. Let's assume that mowing the entire lawn is considered as "1 job" or "1 whole."
If Bill can mow the lawn in x hours, it means he can complete the entire job in x hours.
We can set up a proportion to find the part of the lawn Bill can mow in 2 hours:
x hours = 1 job
2 hours = ? job
We can cross-multiply to solve for the missing value:
x * ? = 1 * 2
This simplifies to:
? = 2/x
Therefore, the part of the lawn Bill can mow in 2 hours is represented by the fraction 2/x.
So, the correct answer is A) 2/x.
To determine the part of the lawn that Bill can mow in 2 hours, we need to consider the given information that it takes Bill 'x' hours to mow the entire lawn.
Let's break down the problem step by step:
1. We know that Bill can mow the whole lawn in 'x' hours.
2. Since the lawn can be completely mowed in 'x' hours, we can say that in 1 hour, Bill can mow 1/x part of the lawn. This is because if it takes Bill x hours to mow the whole lawn, then in 1 hour, he will finish 1/x of the lawn.
3. Now, to find the part of the lawn that Bill can mow in 2 hours, we need to double the amount of lawn mowed in 1 hour. So, we multiply 1/x by 2.
4. Multiplying 1/x by 2 gives us 2/x.
Therefore, the correct answer is A) 2/x.