Question

Neeta has 6 planks of wood 7 feet long and 5 planks of wood 8 feet long.if she places all 6 of the 7-foot planks in a line,they will be____feet longer than all 5 of the 8-foot planks in a line.
A. 1 , B. 3,C.2, D. 4

Answer 1

Difference between the lengths of the Planks = 2 feet(Option C).

Sum of all 6 planks of wood 7 feet long in a line = 7x6 = 42 feet.

Similarly ,sum of all 5 planks of wood 8 feet long in a line = 5x8 = 40 feet.

Hence the difference between the lengths of the planks =

42-40 = 2 feet.

Hence the correct Answer is option C.

Answer 2

$\fontsize{18}{10}{\textup{\textbf{Correct option is (C). 2.}}}$

Step-by-step explanation:

When Neeta places all the 6 of the 7-foot planks in a line, then the total length is given by

$l_1=6\times7=42~\textup{feet}.$

Again, when Neeta places all the 5 of the 8-foot planks in a line, then the total length is given by

$l_2=5\times8=40~\textup{feet}.$

Therefore, the difference between the lengths is

$l=l_1-l_2=42-40=2~\textup{feet}.$

Thus, all 6 of the 7-foot planks in a line will be 2 feet longer than all 5 of the 8-foot planks in a line.

Option (C) is CORRECT.

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Question : Three pieces of timber 42 m 49 m and 63 m long have to be divided into the planks of the same  length. What is the greatest possible length of each plank?

Link : https://brainly.in/question/19560.