Question

Hansa and Greta walked in the forest to collect fruits everyday. If the average number of miles walked is 3 miles, they walked miles on Tuesday.

• A. $\frac{10}{4}$ miles
• B. $\frac{11}{3}$ miles
• C. 4 miles

Answer 1

The correct option is C 4 miles

Hansa and Greta walked $\frac{9}{4}$ miles on Monday, $\frac{11}{4}$ miles on Wednesday.

Given that the average distance walked on 3 days is 3 miles.

Let x be the distance walked on Tuesday.

Since average is the sum of values divided by the number of values, therefore,
($\frac{9}{4}$ + x + $\frac{11}{4}$) $÷$ 3 = 3
$\Rightarrow$ ($\frac{20}{4}$ + x ) $\times$ $\frac{1}{3}$ = 3
$\Rightarrow$ (5 + x ) = 9
$\Rightarrow$ x = 4

Hence, they walked 4 miles on Tuesday.