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Question
Three pieces of timber 42 cm ,49 cm and 63 cm long have to be divided into planks of the same length. What is the greatest possible length of each plank? How many planks are formed?
Three pieces of timber 42 cm ,49 cm and 63 cm long have to be divided into planks of the same length. What is the greatest possible length of each plank? How many planks are formed?
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Solution
There are 3 separate pieces of timber - they cannot be joined together to make planks. We need to make many planks of equal length. We do not want to waste any timber.
It we cut 42 m long timber from all the three pieces, then there is no waste from the 1st one, there is a waste of 7m from 2nd timber and 21 m length is wasted from the third . We get 3 planks of 42 m length.
If we take HCF of all the given lengths (42, 49, 63) , it is 7 m. Hence we make planks of length 7m, then we get 6+7+9 = 22 planks of equal length 7 m.
R
It we cut 42 m long timber from all the three pieces, then there is no waste from the 1st one, there is a waste of 7m from 2nd timber and 21 m length is wasted from the third . We get 3 planks of 42 m length.
If we take HCF of all the given lengths (42, 49, 63) , it is 7 m. Hence we make planks of length 7m, then we get 6+7+9 = 22 planks of equal length 7 m.
R
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