A man travelled 137 km to east of Mumbai and then 235 km to the west from that point . How far from Mumbai was he finally ?

Options

A. 78 km
B. 98 km
C. 88 km
D. 108 km

Answer

To solve the problem step by step, we need to analyze the man's journey from Mumbai.

1. **Understanding Directions**:
- The man starts his journey from Mumbai. We can represent Mumbai as point M.
- He first travels 137 km to the east.

2. **Calculating the First Distance**:
- From point M (Mumbai), he moves 137 km east.
- We can denote this position as point A. So, the distance from M to A is 137 km.

3. **Calculating the Second Distance**:
- From point A, he then travels 235 km to the west.
- Since he is moving west from point A, we need to subtract the distance he traveled east from the distance he is now traveling west.

4. **Finding the Effective Distance from Mumbai**:
- The total distance he traveled west is 235 km.
- Since he was already 137 km east of Mumbai, we need to find the remaining distance after moving back towards Mumbai:
\[ \text{Effective Distance} = \text{Distance traveled west} - \text{Distance traveled east} \]
\[ \text{Effective Distance} = 235 \text{ km} - 137 \text{ km} \]

5. **Performing the Calculation**:
- Now, we perform the subtraction:
\[ 235 - 137 = 98 \text{ km} \]

6. **Conclusion**:
- The man is finally 98 km to the west of Mumbai.

### Final Answer:
The man is 98 km away from Mumbai.

---