A carpenter cuts off from a plank 5 1/2 of its length and then 6/7 of what remains. If the remaining piece is 2 1/2 m long Find the original length of the plank.
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Answered by
5
Answer:
Step-by-step explanation:
Let the Original length of the Plank be x m.
∴ Part of the Plank cut = 5/12 × x
= 5x/12 m.
Now, Remaining part of the plank = x - 5x/12
= (12x - 5x)/12
= 7x/12 m
A/c to the Question,
Carpenter cuts 6/7th part of the 7x/12 m.
∴ Length of the Part cut = 7x/12 × 6/7
= x/2 m.
Now, Remaining Part = 5/2 m.
We know,
∴ 5x/12 + x/2 + 5/2 = x
⇒ (5x + 6x + 30)/12 = x
⇒ 11x + 30 = 12x
⇒ 12x - 11x = 30
∴ x = 30 m.
Hence, the length of the Plank is 30 m.
Hope it helps.
Answered by
1
Answer:
no ideas
Step-by-step explanation:
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