Question

While traveling from her home to school, Ashley walks one-fourth of the way, cycles for two-fifths and travels 3.85 miles by car.

What is the total distance between her home and school?

• A. 8 mi
• B. 9 mi
• C. 10 mi
• D. 11 mi

Answer 1

The correct option is D 11 mi

Let the distance between his home and school be x mi.

Distance he covers by walking = $\frac{1}{4}$x
Distance he covers by cycling = $\frac{2}{5}$x
Distance traveled by car = 3.85 mi

Total distance = Distance covered by walk + Distance covered by cycle + Distance covered by car

$⟹$ x = $\frac{1}{4}$x + $\frac{2}{5}$x + 3.85

$⟹$ x - 0.25x - 0.4x = 3.85

$⟹$ 0.35x = 3.85

$⟹$ x = 11

Therefore, the total distance between her home and school is 11 mi.