I have this question, don't know where to start!
The total length of ropes a,b and c is 270cm. Rope a is 20cm longer than rope c, but 50cm shorter than rope b. What is the length of rope b?
Have tried dividing 270 by 3 giving 90, then just moving figures around, but is there any formula to work out?
Thanks
Rope A is thrice as long as Rope B. Rope B is 27 cm shorter than Rope C. Rope C is 33 cm shorter than Rope A. How long is Rope B?
c = X cm.
a = x+20 cm.
b = x+20 + 50 cm.
a + b + c = 270.
x+20 + x+20+50 + x = 270. X = ?.
b = x+20+50.
C=60
A=80
B=130
Total of A+B+C 270cm
Length of B = 130
Rope Q is 12 m longer than Rope P. Rope W is twice as long as Rope P .
The total length of the three ropes is 36 m.
What is the length of Rope P ?
To find the length of rope b, you can use algebraic equations to express the relationships between the three ropes. Let's assign variables to the lengths of the ropes:
Let c be the length of rope c.
Since rope a is 20cm longer than rope c, the length of rope a will be c + 20.
And since rope a is 50cm shorter than rope b, the length of rope b will be a + 50.
Now we can write the equation: c + (c + 20) + (c + 20 + 50) = 270
Simplifying the equation:
3c + 90 = 270
3c = 270 - 90
3c = 180
c = 180 / 3
c = 60
Now that we know the length of rope c is 60cm, we can find the lengths of the other ropes:
The length of rope a = c + 20 = 60 + 20 = 80cm
The length of rope b = a + 50 = 80 + 50 = 130cm
Therefore, the length of rope b is 130cm.
So, to summarize:
- Assign variables to represent the lengths of the ropes.
- Write equations based on the given information.
- Solve the equations to find the length of the unknown rope.