Three pieces of timber 42 meters,49 meters long have to be divided into planks of the same length. What is the greatest possible length of each plank ?
Answers
Answer:
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.
Step-by-step explanation:
Answer:
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.
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