Class 10 Math All topics Arithmetic Progressions
A ladder has rungs cm. apart. The rungs decrease uniformly in the 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
(a)
cm
(b)
cm
(c)
cm
(d)
cm
Correct answer: (d) 
Solution: The distance between the top and the bottom rungs m cm and the distance between two consecutive rungs cm.

Therefore, the number of gaps between the rungs .

So, the total number of rungs in the ladder  

The length of the bottom rung is cm and the lengths of rungs decrease uniformly from bottom to top.

Therefore, the numbers involved in the lengths (in cm) of the rungs from bottom to top form an AP with   and total number of rungs .





Hence, the length of the wood required for rungs cm.

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Similar topics
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Connecting you to a tutor in 60 seconds.
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play store logo
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introduction to trigonometry
functions
some applications of trigonometry
quadratic equations
surface areas and volumes