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Two cities p and q are two points 330 km apart on a highway. two cars starts with different speeds from p and q at same time. if they move in same direction, they made in 11 hours and if they move towards each other, they meet in 3 hours. find the speed of the two cars.?
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Two cities p and q are two points 330 km apart on a highway. two cars ...
Understanding the Problem
Two cars are traveling between two cities, P and Q, which are 330 km apart. The cars have different speeds and we need to determine their individual speeds based on their movements.
Given Conditions
- When moving in the same direction, they meet in 11 hours.
- When moving towards each other, they meet in 3 hours.
Let’s Define the Speeds
- Let the speed of the car from city P be "x" km/h.
- Let the speed of the car from city Q be "y" km/h.
Scenario 1: Same Direction
- When moving in the same direction, the relative speed is (x - y).
- The distance covered is 330 km.
- Time taken = 11 hours.
Thus, we have the equation:
- 330 = (x - y) * 11
This simplifies to:
- x - y = 30 (Equation 1)
Scenario 2: Towards Each Other
- When moving towards each other, the relative speed is (x + y).
- Time taken = 3 hours.
Thus, we have the equation:
- 330 = (x + y) * 3
This simplifies to:
- x + y = 110 (Equation 2)
Solving the Equations
Now, we can solve Equations 1 and 2:
1. From Equation 1: x - y = 30
2. From Equation 2: x + y = 110
Adding these two equations:
- 2x = 140
- x = 70 km/h (Speed of car from P)
Now substituting x in Equation 2:
- 70 + y = 110
- y = 40 km/h (Speed of car from Q)
Conclusion
- Speed of car from city P = 70 km/h
- Speed of car from city Q = 40 km/h
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Two cities p and q are two points 330 km apart on a highway. two cars starts with different speeds from p and q at same time. if they move in same direction, they made in 11 hours and if they move towards each other, they meet in 3 hours. find the speed of the two cars.?
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Two cities p and q are two points 330 km apart on a highway. two cars starts with different speeds from p and q at same time. if they move in same direction, they made in 11 hours and if they move towards each other, they meet in 3 hours. find the speed of the two cars.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two cities p and q are two points 330 km apart on a highway. two cars starts with different speeds from p and q at same time. if they move in same direction, they made in 11 hours and if they move towards each other, they meet in 3 hours. find the speed of the two cars.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two cities p and q are two points 330 km apart on a highway. two cars starts with different speeds from p and q at same time. if they move in same direction, they made in 11 hours and if they move towards each other, they meet in 3 hours. find the speed of the two cars.?.
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