Two objects a distance apart meet in t1 going the same way and t2 towards each other: their speeds

This type of question, asked 4 times: 10 Sep 2024 S2, 19 Sep 2024 S1, 12 Sep 2025 S1, 20 Sep 2025 S1. All 4 questions below, oldest first.

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Question 1
10 Sep 2024 S2
74 $Places A and B are 20 km apart on the highway. A car starts from A and another from B at the same time. If the cars travel in the same direction at different speeds, they meet in one hour. If they travelled towards each other, they met in 12 minutes. What are the speeds (in km/h) of two cars?$
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Question 2
19 Sep 2024 S1
71 $Two trains of lengths 150 m and 250 m run on parallel lines. When they run in the same direction, they take 20 seconds to cross each other and, when they run in the opposite direction, they take 5 seconds to cross each other. What is the speed of the two trains?$
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Question 3
12 Sep 2025 S1
70 $Two cars, X and Y, start from points 360 km apart and travel at constant speeds. If they move towards each other, they meet in 4 hours. If they move in the same direction, they meet in 12 hours. What is the speed of car X? (Assume X is the faster car).$
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Question 4
20 Sep 2025 S1
55 $A thief and a police officer are 500 meters apart. If they run in the same direction, the police officer catches the thief in 10 minutes. If they run towards each other, they meet in 2 minutes. What is the speed of the thief in meters per minute?$
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Question 1