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a motorcyclist and a car movea in opposite directions after 2 hours the distance between them is 140km if they had travveled in the same direction the distance between them would nahe been 20km after 2 hrs find speed of car and motocyclost?
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?a motorcyclist and a car movea in opposite directions after 2 hours t...
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?a motorcyclist and a car movea in opposite directions after 2 hours t...
Given information:
- After 2 hours, the distance between the motorcyclist and the car is 140 km when they move in opposite directions.
- If they had traveled in the same direction, the distance between them would have been 20 km after 2 hours.
To find:
- Speed of the car
- Speed of the motorcyclist
Assumptions:
- The speeds of both the car and the motorcyclist are constant throughout the journey.
- The distance traveled by both the car and the motorcyclist in 2 hours is the same regardless of their directions.
Solution:
Step 1: Understanding the situation
- Let's assume the speed of the car is "C" km/h and the speed of the motorcyclist is "M" km/h.
- When they move in opposite directions, their speeds are added, so the relative speed between them is (C + M) km/h.
- When they move in the same direction, their speeds are subtracted, so the relative speed between them is (C - M) km/h.
Step 2: Calculating the distance traveled in both cases
- After 2 hours, the distance traveled by the car and the motorcyclist when moving in opposite directions is (C + M) * 2 km.
- After 2 hours, the distance traveled by the car and the motorcyclist when moving in the same direction is (C - M) * 2 km.
Step 3: Solving the equations
- According to the given information, (C + M) * 2 = 140 km (when moving in opposite directions).
- According to the given information, (C - M) * 2 = 20 km (when moving in the same direction).
Step 4: Solving the equations to find the speeds
- From the first equation, we can rewrite it as C + M = 70 km/h.
- From the second equation, we can rewrite it as C - M = 10 km/h.
- Adding both equations, we get 2C = 80 km/h.
- Dividing both sides by 2, we find C = 40 km/h.
- Substituting the value of C in either of the equations, we find M = 30 km/h.
Step 5: Conclusion
- The speed of the car is 40 km/h, and the speed of the motorcyclist is 30 km/h.
- After 2 hours, the distance between the motorcyclist and the car is 140 km when they move in opposite directions.
- If they had traveled in the same direction, the distance between them would have been 20 km after 2 hours.
To find:
- Speed of the car
- Speed of the motorcyclist
Assumptions:
- The speeds of both the car and the motorcyclist are constant throughout the journey.
- The distance traveled by both the car and the motorcyclist in 2 hours is the same regardless of their directions.
Solution:
Step 1: Understanding the situation
- Let's assume the speed of the car is "C" km/h and the speed of the motorcyclist is "M" km/h.
- When they move in opposite directions, their speeds are added, so the relative speed between them is (C + M) km/h.
- When they move in the same direction, their speeds are subtracted, so the relative speed between them is (C - M) km/h.
Step 2: Calculating the distance traveled in both cases
- After 2 hours, the distance traveled by the car and the motorcyclist when moving in opposite directions is (C + M) * 2 km.
- After 2 hours, the distance traveled by the car and the motorcyclist when moving in the same direction is (C - M) * 2 km.
Step 3: Solving the equations
- According to the given information, (C + M) * 2 = 140 km (when moving in opposite directions).
- According to the given information, (C - M) * 2 = 20 km (when moving in the same direction).
Step 4: Solving the equations to find the speeds
- From the first equation, we can rewrite it as C + M = 70 km/h.
- From the second equation, we can rewrite it as C - M = 10 km/h.
- Adding both equations, we get 2C = 80 km/h.
- Dividing both sides by 2, we find C = 40 km/h.
- Substituting the value of C in either of the equations, we find M = 30 km/h.
Step 5: Conclusion
- The speed of the car is 40 km/h, and the speed of the motorcyclist is 30 km/h.
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?a motorcyclist and a car movea in opposite directions after 2 hours the distance between them is 140km if they had travveled in the same direction the distance between them would nahe been 20km after 2 hrs find speed of car and motocyclost? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about ?a motorcyclist and a car movea in opposite directions after 2 hours the distance between them is 140km if they had travveled in the same direction the distance between them would nahe been 20km after 2 hrs find speed of car and motocyclost? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ?a motorcyclist and a car movea in opposite directions after 2 hours the distance between them is 140km if they had travveled in the same direction the distance between them would nahe been 20km after 2 hrs find speed of car and motocyclost?.
?a motorcyclist and a car movea in opposite directions after 2 hours the distance between them is 140km if they had travveled in the same direction the distance between them would nahe been 20km after 2 hrs find speed of car and motocyclost? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about ?a motorcyclist and a car movea in opposite directions after 2 hours the distance between them is 140km if they had travveled in the same direction the distance between them would nahe been 20km after 2 hrs find speed of car and motocyclost? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ?a motorcyclist and a car movea in opposite directions after 2 hours the distance between them is 140km if they had travveled in the same direction the distance between them would nahe been 20km after 2 hrs find speed of car and motocyclost?.
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