Two 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
Two 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?
Solution 1
To solve this problem, we need to break it down into several steps:
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Initially, P and Q are 200 km apart. P travels 30 km and stops, so the distance between P and Q is now 200 - 30 = 170 km.
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Q then travels 70 km towards P, so the distance between them is now 170 - 70 = 100 km.
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Q then takes a left turn and travels 20 km. This doesn't change the distance between P and Q, because they are not moving closer or further apart. So, the distance remains 100 km.
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Q then takes a right turn and travels 45 km. Again, this doesn't change the distance between P and Q, because they are not moving closer or further apart. So, the distance remains 100 km.
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Finally, Q turns back to the main road. We're not told how far Q travels at this point, but we know that P and Q are still 100 km apart because P hasn't moved since he stopped.
So, the distance between P and Q is 100 km.
Solution 2
To solve this problem, we need to break it down into several steps:
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Initially, P and Q are 200 km apart. P travels 30 km and stops, so the distance between P and Q is now 200 - 30 = 170 km.
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Q travels 70 km towards P, so the distance between them is now 170 - 70 = 100 km.
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Q then takes a left turn and travels 20 km. This doesn't change the distance between P and Q because they are not moving towards or away from each other. So, the distance remains 100 km.
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Q then takes a right turn and travels 45 km. Again, this doesn't change the distance between P and Q, so the distance remains 100 km.
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Finally, Q turns back to the main road. This means Q is now moving towards P again. However, the problem doesn't specify how far Q travels on the main road before stopping. So, we can't determine the final distance between P and Q without this information.
If we assume that Q stops as soon as he reaches the main road, then the distance between P and Q would still be 100 km.
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