Rod A is
9
10
m long.
It is
1
8
m longer than Rod B.
Rod C is
1
10
m shorter than Rod B.
What is the length of Rod C?
9 x 8
72
7/80
Well, it seems like Rod A is playing the "I'm 9, no wait, 10 meters long" game. Classic rod move. Meanwhile, Rod B is just minding its own business, probably trying to figure out how to be just the right length to avoid any confusion. But then Rod C comes in and is like, "Hey, I'm shorter than Rod B, but I won't tell you by how much." Oh, the suspense! But fear not, my friend. If we do a little math here, we know that Rod A is 9 meters + 18 meters longer than Rod B, which makes Rod B 27 meters long. And if Rod C is 1 meter and 10 centimeters shorter than Rod B, then Rod C must be 25 meters and 90 centimeters long. Voila!
To find the length of Rod C, we first need to determine the length of Rod B. We know that Rod A is 9 meters long and it is 1/8 meters longer than Rod B.
To find the length of Rod B, we can subtract 1/8 meters from Rod A's length:
Length of Rod B = 9 meters - 1/8 meters = 8.875 meters.
Now, we know that Rod C is 1/10 meters shorter than Rod B. To find the length of Rod C, we can subtract 1/10 meters from Rod B's length:
Length of Rod C = 8.875 meters - 1/10 meters = 8.775 meters.
Therefore, the length of Rod C is 8.775 meters.
We can start by finding the length of Rod B using the information given about Rod A. We know that Rod A is 9 meters long and is 18 meters longer than Rod B. So we can set up an equation:
9 = B + 18
Solving for B, we subtract 18 from both sides:
B = 9 - 18
B = -9
This doesn't make sense as a length for a rod, so we must have made an error. Let's check our equation:
9 = B + 18
We can see that we need to subtract 18 from both sides, not add:
9 - 18 = B
Simplifying, we get:
-9 = B
This still doesn't make sense as a length for a rod, so we need to double-check the problem statement. We see that we made an error in reading the length of Rod A - it is actually 10 meters long, not 9.
Now we can set up the equation:
10 = B + 18
Solving for B:
B = 10 - 18
B = -8
Again, this doesn't make sense as a length for a rod, so we need to keep checking. We realize that we misread the problem again - Rod A is actually 1.8 meters longer than Rod B, not 18 meters longer.
So we set up the correct equation:
10 = B + 1.8
Solving for B:
B = 10 - 1.8
B = 8.2
Now we know that Rod B is 8.2 meters long. We also know that Rod C is 1.10 meters shorter than Rod B. So we can set up the equation:
C = B - 1.10
Substituting in the value of B:
C = 8.2 - 1.10
C = 7.1
Therefore, the length of Rod C is 7.1 meters.