Question

Alfred is running late for office. He has to select one of the three paths available to him. If he can only travel at a constant speed of 20 m/s, identify the path that will take the least amount of time for him to reach his office.

• A. Path A
• B. Path B
• C. Path C
• D. All of the above

Answer 1

The correct option is B Path B

The time duration for the journey can be determined as:
Time (T) = $\frac{Distance}{Speed}$

For path A:
Distance to be covered: 12 km = 12000 m
Speed of the car: 20 m/s
$T_A=\frac{12000}{20}=600s$

For path B:
Distance to be covered: 8 km = 8000 m
Speed of the car: 20 m/s
$T_B=\frac{8000}{20}=400s$

For path C:
Distance to be covered: 14 km = 14000 m
Speed of the car: 20 m/s
$T_C=\frac{14000}{20}=700s$

Path B will take the least amount of time for him to reach his office.