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wo friends P and Q started walking towards each starting from points A and B respectively, which are 200 km apart. On a straight road P traveled for 30 km on road and stopped. Q traveled for 70 km, and took a left turn and traveled 20 km. Then he took right turn and traveled 45 km and then turned to the main road and reached it. What  is the distance, in km , between the friends now?

Question

wo friends P and Q started walking towards each starting from points A and B respectively, which are 200 km apart. On a straight road P traveled for 30 km on road and stopped. Q traveled for 70 km, and took a left turn and traveled 20 km. Then he took right turn and traveled 45 km and then turned to the main road and reached it. What  is the distance, in km , between the friends now?

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Solution

To solve this problem, we need to break it down into several steps:

  1. Initially, P and Q are 200 km apart. P travels 30 km, and Q travels 70 km on the same road. So, the distance between them is now 200 - 30 - 70 = 100 km.

  2. Q then takes a left turn and travels 20 km. This movement is perpendicular to the main road, so it doesn't affect the distance between P and Q on the main road.

  3. Q then takes a right turn and travels 45 km. This movement is parallel to the main road, so it brings Q closer to P. The distance between them on the main road is now 100 - 45 = 55 km.

  4. Q then turns back to the main road. This movement is perpendicular to the main road, so again, it doesn't affect the distance between P and Q on the main road.

So, the final distance between P and Q is 55 km.

This problem has been solved

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