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Journey to a picnic spot:
2 friends started for a picnic spot, in two different cars. A drove his car at a constant velocity 60 km/h. B drove his car at a constant velocity 50 km/h. The velocity of B relative to A is VB – VA Similarly, the velocity of object A relative to object B is VA – VB Their friend C was supposed to wait at a point on the road for a lift. Both of them forgot to pick up C. A and B reached the picnic spot within 2 hours and 2 hours 24 minutes respectively.
What were the velocities of A and B relative to C?
- a)50 km/h, 60 km/h
- b)60 km/h, 50 km/h
- c)Both 10 km/h
- d)Both 55 km/h
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Journey to a picnic spot:2 friends started for a picnic spot, in two ...
Since C was in stationary position, his velocity was 0. Hence the velocity of A relative to C was 6
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60 – 0 = 60 km/h and the velocity of B relative to C was 50 – 0 = 50 km/h.
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Journey to a picnic spot:2 friends started for a picnic spot, in two ...
Solution:
Velocity of A = 60 km/h
Velocity of B = 50 km/h
Time taken by A = 2 hours
Time taken by B = 2 hours 24 minutes = 2.4 hours
Let us assume that C was waiting at a point X and the distance between X and the picnic spot is d.
Velocity of A relative to C = VA – VC
As A and B forgot to pick up C, C did not travel with them. So, the time taken by C to reach the picnic spot would be the same as the time taken by A and B together.
Time taken by A and B together = 2 hours + 2.4 hours = 4.4 hours
Distance between X and the picnic spot = d
Velocity of A relative to C = (d/4.4) km/h
Velocity of B relative to C = VB – VC
Distance between X and the picnic spot = d
Time taken by B to cover this distance = 2.4 hours
Velocity of B relative to C = (d/2.4) km/h
As both A and B were travelling in the same direction, the relative velocity of B with respect to A would be:
VB – VA = 50 – 60 = -10 km/h
This means that B was travelling 10 km/h slower than A.
Velocity of A relative to C = (d/4.4) km/h
Velocity of B relative to C = (d/2.4) km/h
We need to find the values of VA – VC and VB – VC.
We can use the concept of relative velocity to find VA – VC and VB – VC.
Relative velocity between A and C = VA – VC
Relative velocity between B and C = VB – VC
Relative velocity between A and B = VB – VA = -10 km/h
We know that relative velocity between two objects is equal to the difference in their velocities when they are travelling in the same direction.
Relative velocity between A and C = VA – VC
VA – VC = (d/4.4) km/h ……….. (1)
Relative velocity between B and C = VB – VC
VB – VC = (d/2.4) km/h ……….. (2)
We need to solve these two equations to find VA – VC and VB – VC.
Multiplying equation (1) by 2.4 and equation (2) by 4.4, we get:
2.4(VA – VC) = d
4.4(VB – VC) = d
Solving for VA – VC and VB – VC, we get:
VA – VC = (d/2.4) km/h
VB – VC = (d/4.4) km/h
Substituting the values of VA – VC and VB – VC, we get:
VA – VC = 60 – (d/2.4) km/h
VB – VC = 50 – (d/4.4) km/h
Therefore, the velocities of A and B relative to C are 60 – (d/2.4) km/h and 50 – (d/4.4) km/h respectively.
Hence, the correct answer is option B, i.e., 60 km/h and 50 km/h.
Velocity of A = 60 km/h
Velocity of B = 50 km/h
Time taken by A = 2 hours
Time taken by B = 2 hours 24 minutes = 2.4 hours
Let us assume that C was waiting at a point X and the distance between X and the picnic spot is d.
Velocity of A relative to C = VA – VC
As A and B forgot to pick up C, C did not travel with them. So, the time taken by C to reach the picnic spot would be the same as the time taken by A and B together.
Time taken by A and B together = 2 hours + 2.4 hours = 4.4 hours
Distance between X and the picnic spot = d
Velocity of A relative to C = (d/4.4) km/h
Velocity of B relative to C = VB – VC
Distance between X and the picnic spot = d
Time taken by B to cover this distance = 2.4 hours
Velocity of B relative to C = (d/2.4) km/h
As both A and B were travelling in the same direction, the relative velocity of B with respect to A would be:
VB – VA = 50 – 60 = -10 km/h
This means that B was travelling 10 km/h slower than A.
Velocity of A relative to C = (d/4.4) km/h
Velocity of B relative to C = (d/2.4) km/h
We need to find the values of VA – VC and VB – VC.
We can use the concept of relative velocity to find VA – VC and VB – VC.
Relative velocity between A and C = VA – VC
Relative velocity between B and C = VB – VC
Relative velocity between A and B = VB – VA = -10 km/h
We know that relative velocity between two objects is equal to the difference in their velocities when they are travelling in the same direction.
Relative velocity between A and C = VA – VC
VA – VC = (d/4.4) km/h ……….. (1)
Relative velocity between B and C = VB – VC
VB – VC = (d/2.4) km/h ……….. (2)
We need to solve these two equations to find VA – VC and VB – VC.
Multiplying equation (1) by 2.4 and equation (2) by 4.4, we get:
2.4(VA – VC) = d
4.4(VB – VC) = d
Solving for VA – VC and VB – VC, we get:
VA – VC = (d/2.4) km/h
VB – VC = (d/4.4) km/h
Substituting the values of VA – VC and VB – VC, we get:
VA – VC = 60 – (d/2.4) km/h
VB – VC = 50 – (d/4.4) km/h
Therefore, the velocities of A and B relative to C are 60 – (d/2.4) km/h and 50 – (d/4.4) km/h respectively.
Hence, the correct answer is option B, i.e., 60 km/h and 50 km/h.
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Journey to a picnic spot:2 friends started for a picnic spot, in two different cars. A drove his car at a constant velocity 60 km/h. B drove his car at a constant velocity 50 km/h. The velocity of B relative to A is VB – VA Similarly, the velocity of object A relative to object B is VA – VB Their friend C was supposed to wait at a point on the road for a lift. Both of them forgot to pick up C. A and B reached the picnic spot within 2 hours and 2 hours 24 minutes respectively.What were the velocities of A and B relative to C?a)50 km/h, 60 km/hb)60 km/h, 50 km/hc)Both 10 km/hd)Both 55 km/hCorrect answer is option 'B'. Can you explain this answer?
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Journey to a picnic spot:2 friends started for a picnic spot, in two different cars. A drove his car at a constant velocity 60 km/h. B drove his car at a constant velocity 50 km/h. The velocity of B relative to A is VB – VA Similarly, the velocity of object A relative to object B is VA – VB Their friend C was supposed to wait at a point on the road for a lift. Both of them forgot to pick up C. A and B reached the picnic spot within 2 hours and 2 hours 24 minutes respectively.What were the velocities of A and B relative to C?a)50 km/h, 60 km/hb)60 km/h, 50 km/hc)Both 10 km/hd)Both 55 km/hCorrect answer is option 'B'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Journey to a picnic spot:2 friends started for a picnic spot, in two different cars. A drove his car at a constant velocity 60 km/h. B drove his car at a constant velocity 50 km/h. The velocity of B relative to A is VB – VA Similarly, the velocity of object A relative to object B is VA – VB Their friend C was supposed to wait at a point on the road for a lift. Both of them forgot to pick up C. A and B reached the picnic spot within 2 hours and 2 hours 24 minutes respectively.What were the velocities of A and B relative to C?a)50 km/h, 60 km/hb)60 km/h, 50 km/hc)Both 10 km/hd)Both 55 km/hCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Journey to a picnic spot:2 friends started for a picnic spot, in two different cars. A drove his car at a constant velocity 60 km/h. B drove his car at a constant velocity 50 km/h. The velocity of B relative to A is VB – VA Similarly, the velocity of object A relative to object B is VA – VB Their friend C was supposed to wait at a point on the road for a lift. Both of them forgot to pick up C. A and B reached the picnic spot within 2 hours and 2 hours 24 minutes respectively.What were the velocities of A and B relative to C?a)50 km/h, 60 km/hb)60 km/h, 50 km/hc)Both 10 km/hd)Both 55 km/hCorrect answer is option 'B'. Can you explain this answer?.
Journey to a picnic spot:2 friends started for a picnic spot, in two different cars. A drove his car at a constant velocity 60 km/h. B drove his car at a constant velocity 50 km/h. The velocity of B relative to A is VB – VA Similarly, the velocity of object A relative to object B is VA – VB Their friend C was supposed to wait at a point on the road for a lift. Both of them forgot to pick up C. A and B reached the picnic spot within 2 hours and 2 hours 24 minutes respectively.What were the velocities of A and B relative to C?a)50 km/h, 60 km/hb)60 km/h, 50 km/hc)Both 10 km/hd)Both 55 km/hCorrect answer is option 'B'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Journey to a picnic spot:2 friends started for a picnic spot, in two different cars. A drove his car at a constant velocity 60 km/h. B drove his car at a constant velocity 50 km/h. The velocity of B relative to A is VB – VA Similarly, the velocity of object A relative to object B is VA – VB Their friend C was supposed to wait at a point on the road for a lift. Both of them forgot to pick up C. A and B reached the picnic spot within 2 hours and 2 hours 24 minutes respectively.What were the velocities of A and B relative to C?a)50 km/h, 60 km/hb)60 km/h, 50 km/hc)Both 10 km/hd)Both 55 km/hCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Journey to a picnic spot:2 friends started for a picnic spot, in two different cars. A drove his car at a constant velocity 60 km/h. B drove his car at a constant velocity 50 km/h. The velocity of B relative to A is VB – VA Similarly, the velocity of object A relative to object B is VA – VB Their friend C was supposed to wait at a point on the road for a lift. Both of them forgot to pick up C. A and B reached the picnic spot within 2 hours and 2 hours 24 minutes respectively.What were the velocities of A and B relative to C?a)50 km/h, 60 km/hb)60 km/h, 50 km/hc)Both 10 km/hd)Both 55 km/hCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Journey to a picnic spot:2 friends started for a picnic spot, in two different cars. A drove his car at a constant velocity 60 km/h. B drove his car at a constant velocity 50 km/h. The velocity of B relative to A is VB – VA Similarly, the velocity of object A relative to object B is VA – VB Their friend C was supposed to wait at a point on the road for a lift. Both of them forgot to pick up C. A and B reached the picnic spot within 2 hours and 2 hours 24 minutes respectively.What were the velocities of A and B relative to C?a)50 km/h, 60 km/hb)60 km/h, 50 km/hc)Both 10 km/hd)Both 55 km/hCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 11.
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ample number of questions to practice Journey to a picnic spot:2 friends started for a picnic spot, in two different cars. A drove his car at a constant velocity 60 km/h. B drove his car at a constant velocity 50 km/h. The velocity of B relative to A is VB – VA Similarly, the velocity of object A relative to object B is VA – VB Their friend C was supposed to wait at a point on the road for a lift. Both of them forgot to pick up C. A and B reached the picnic spot within 2 hours and 2 hours 24 minutes respectively.What were the velocities of A and B relative to C?a)50 km/h, 60 km/hb)60 km/h, 50 km/hc)Both 10 km/hd)Both 55 km/hCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 11 tests.
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