Question

While traveling from his house to work, Tom walks three-fifths of the way, travels by bike for one-fourth way and travels 2.25 mi by car.

What is the total distance between his house and work (in mi)?

• A. 10 mi
• B. 12.5 mi
• C. 15 mi
• D. 20 mi

Answer 1

The correct option is C 15 mi

Let the distance between his house and work be x mi.

Distance he covers by walking =$\frac{3}{5}$x
Distance he covers by bike = $\frac{1}{4}$x
Distance traveled by car = 2.25 mi

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

$⟹$ x = $\frac{3}{5}$x + $\frac{1}{4}$x + 2.25

$⟹$ x - 0.6x - 0.25x = 2.25

$⟹$ 0.15x = 2.25

$⟹$ x = 15

Therefore, the total distance between his house and work is 15 mi.