Preeti travelled 3x km distance by walk, 9y km by cycle and 5 km by bus. The total distance travelled by Preeti is ____.

Options

A. `(3x - 9y + 5)` km
B. `(3x + 9y + 5)` km
C. `(3x – 9y - 5)` km
D. `(9x + 3y - 5)` km

Answer

To find the total distance traveled by Preeti, we need to sum up the distances she traveled by walking, cycling, and by bus.

1. **Identify the distances:**
- Distance traveled by walk = 3x km
- Distance traveled by cycle = 9y km
- Distance traveled by bus = 5 km

2. **Write the expression for total distance:**
To find the total distance, we add all the distances together:
\[ \text{Total Distance} = \text{Distance by Walk} + \text{Distance by Cycle} + \text{Distance by Bus} \]
Substituting the values:
\[ \text{Total Distance} = 3x + 9y + 5 \]

3. **Final answer:**
Therefore, the total distance traveled by Preeti is:
\[ \text{Total Distance} = 3x + 9y + 5 \text{ km} \]