The table shows the distances (in km) between points P, Q, R, and S. Vehicles available at each point have different speeds:

| | P | Q | R | S |
|---|-----|-----|-----|-----|
| P | 0 | 240 | ** | 520 |
| Q | 360 | 0 | 400 | ** |
| R | 280 | 480 | ** | 600 |
| S | 500 | ** | 600 | 0 |

Transport vehicle speeds (km/hr):
- Taxi: 80
- Bus: 50
- Car: 60
- Bike: 25

If Ram travels from P to S and Rahul travels from Q to P, find the difference between the maximum distance travelled by both of them.

Question

The table shows the distances (in km) between points P, Q, R, and S. Vehicles available at each point have different speeds:

|   | P   | Q   | R   | S   |
|---|-----|-----|-----|-----|
| P | 0   | 240 | **  | 520 |
| Q | 360 | 0   | 400 | **  |
| R | 280 | 480 | **  | 600 |
| S | 500 | **  | 600 | 0   |

Transport vehicle speeds (km/hr):
- Taxi: 80
- Bus: 50
- Car: 60
- Bike: 25

If Ram travels from P to S and Rahul travels from Q to P, find the difference between the maximum distance travelled by both of them.

Accepted Answer

**Solution:**

1. From the table, the distance from P to S is given as 520 km.
2. The distance from Q to P is 360 km.

3. Ram travels from P to S, so distance travelled by Ram = 520 km.
4. Rahul travels from Q to P, so distance travelled by Rahul = 360 km.

5. The difference between the maximum distance travelled by Ram and Rahul is:
   $$520 - 360 = 160 	ext{ km}$$

**Answer:** 160

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