Question

If a person walks at $4$ mph, he covers a certain distance. If he walks at $9$ mph, he covers $8.5$ miles more. How much distance did he actually cover?

• A. $5.5$ miles
• B. $6.8$ miles
• C. $7.8$ miles
• D. $8$ miles

Answer 1

The correct option is B $6.8$ miles

Let actual distance be '$d$' and time taken be '$t$'

Now, $t=\frac{d}{4}\to 1$, Again $t=\frac{d+8.5}{9}\to 2$

From $1$ and $2$, wee get

$\frac{d}{4}=\frac{d+8.5}{9}\Rightarrow 9d=4d+34\Rightarrow d=\frac{34}{5}=6.8$ miles