Q

# A ladder has rungs 25 cm apart. (see Fig. 5.7). The rungs decrease uniformly in length from 45 cm at the bottom to 25 cm at the top. If the top and the bottom rungs are 2 1/2 m apart, what is the length of the wood required for the rungs?

Q : 3    A ladder has rungs cm apart. (see Fig. ). The rungs decrease uniformly in length from  cm at the bottom to cm at the top. If the top and the bottom rungs are    m apart, what is  the length of the wood required for the rungs?

[Hint : Number of rungs Views

It is given that
Total distance between top and bottom rung
Distance between any two rungs = 25 cm
Total number of rungs =
And it is also given that bottom-most rungs is of 45 cm length and topmost is of 25 cm length.As it is given that the length of rungs decrease uniformly, it will form an AP with
Now, we know that

Now, total  length of the wood required for the rungs is equal to

Therefore, the total  length of the wood required for the rungs is equal to  385 cm

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