Question

The table shows the time taken by different people in solving a puzzle:


Aryan took two times the time taken by all the people.

Time taken by Aryan =

• A. $\frac{38}{4}$ hours
• B. $\frac{23}{4}$ hours
• C. $\frac{42}{4}$ hours

Answer 1

The correct option is C $\frac{42}{4}$ hours

First, let's convert all the mixed fractions to improper fraction with denominator 4.

$1\frac{1}{4}$ $\text{= 1 +}\frac{1}{4}\text{=}\frac{4}{4}\text{+}\frac{1}{4}\text{=}\frac{5}{4}$

$1\frac{3}{4}$ $\text{= 1 +}\frac{3}{4}\text{=}\frac{4}{4}\text{+}\frac{3}{4}\text{=}\frac{7}{4}$

Now, we will mark the points on a line plot graph.

Now, calculate the total time taken by all the people given in the table:

$⟹\frac{2}{4}\text{+}\frac{3}{4}\text{+}\frac{5}{4}\text{+}\frac{7}{4}\text{+}\frac{3}{4}\text{+}\frac{1}{4}$

$⟹\frac{2+3+5+7+3+1}{4}$

$⟹\frac{21}{4}\text{hours}$

Aryan took two times the time taken by all the people.

Hence, multiply 2 with the total time calculated above.

Time taken by Aryan
$\text{= 2}\times \frac{21}{4}$

$\text{=}\frac{2\times 21}{4}$

$\text{=}\frac{42}{4}\text{hours}$

Thus, Aryan took $\frac{42}{4}$ hours to solve the puzzle.