To find the distance from David's home to his office, we need to add the distances he walks and the distance he covers by taxi.
1. David walks 1 * 1/5 km. This is equal to 1/5 km or 0.2 km.
2. David covers the remaining distance of 3 * 1/10 km to his office by taxi. This is equal to 3/10 km or 0.3 km.
3. To find the total distance from David's home to his office, we add the distance he walks and the distance he covers by taxi:
- Distance walked: 0.2 km
- Distance covered by taxi: 0.3 km
- Total distance = 0.2 km + 0.3 km = 0.5 km
Therefore, David's office is located 0.5 km away from his home.