Question

If a man walks at a speed of 6 kmph from his house he is late to his office by 12
minutes. If he walks at 8 kmph he will be early by 8 minutes. What is the distance
from his house to his office?
1) 12 km
2) 10 km
3) 8 km
4) 23 km​

Answer 1

Let the distance from house to office be x

From the given data,

x/6 -12/60= x/8 +8/60 (1minute =1/60 hours)

10x-12/60=15x+16/120

10x-12=15x+16/2

20x-24=15x+16

5x=40

x=8km