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Brigadier Rastogi travels from A to Bat 40 km/h on a bike. He travels from B to C at 10 km/h on cycle. The distance from A to Bisequal to B to C. Then he travels from C to A via B at 24 km/h by auto-rickshaw. Find his average speed.
- a)20.5 km/h
- b)21 km/h
- c)18 km/h
- d)19.2 km/h
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Brigadier Rastogi travels from A to Bat 40 km/h on a bike. He travels...
Let distance from A to B LCM of 24, 10, 40 = 120 km
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Time from A to B by bike = 120/40 = 3 h
Time from B to C by cycle = 120/10 = 12 h
All of us know that speed = Distance/time
Time from C to A by autorickshaw = 240/24 = 10 h
Average Speed = Total distance travelled/Total time taken
= (4 x 120)/(3 + 12 + 10) = 480/25 = 19.2 km/h
Most Upvoted Answer
Brigadier Rastogi travels from A to Bat 40 km/h on a bike. He travels...
To find the average speed of Brigadier Rastogi's journey, we need to consider the total distance traveled and the total time taken.
Given:
Speed from A to B = 40 km/h
Speed from B to C = 10 km/h
Speed from C to A via B = 24 km/h
Let's assume the distance from A to B and B to C is 'd' kilometers.
Distance:
Distance from A to B = Distance from B to C = d km
Time:
Time taken from A to B = Distance/Speed = d/40 hours
Time taken from B to C = Distance/Speed = d/10 hours
Time taken from C to A via B = Distance/Speed = d/24 hours
Total distance traveled = 2d km (A to B and B to C)
Total time taken = d/40 + d/10 + d/24 hours
Average speed = Total distance traveled / Total time taken
Simplifying the equation:
Average speed = (2d) / (d/40 + d/10 + d/24)
= (2) / (1/40 + 1/10 + 1/24)
= (2) / (3/120 + 12/120 + 5/120)
= (2) / (20/120)
= (2) / (1/6)
= 12 km/h
Therefore, Brigadier Rastogi's average speed is 12 km/h.
However, the given options do not include 12 km/h, so none of the given options is correct.
Given:
Speed from A to B = 40 km/h
Speed from B to C = 10 km/h
Speed from C to A via B = 24 km/h
Let's assume the distance from A to B and B to C is 'd' kilometers.
Distance:
Distance from A to B = Distance from B to C = d km
Time:
Time taken from A to B = Distance/Speed = d/40 hours
Time taken from B to C = Distance/Speed = d/10 hours
Time taken from C to A via B = Distance/Speed = d/24 hours
Total distance traveled = 2d km (A to B and B to C)
Total time taken = d/40 + d/10 + d/24 hours
Average speed = Total distance traveled / Total time taken
Simplifying the equation:
Average speed = (2d) / (d/40 + d/10 + d/24)
= (2) / (1/40 + 1/10 + 1/24)
= (2) / (3/120 + 12/120 + 5/120)
= (2) / (20/120)
= (2) / (1/6)
= 12 km/h
Therefore, Brigadier Rastogi's average speed is 12 km/h.
However, the given options do not include 12 km/h, so none of the given options is correct.
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Brigadier Rastogi travels from A to Bat 40 km/h on a bike. He travels from B to C at 10 km/h on cycle. The distance from A to Bisequal to B to C. Then he travels from C to A via B at 24 km/h by auto-rickshaw. Find his average speed.a) 20.5 km/hb) 21 km/hc) 18 km/hd) 19.2 km/hCorrect answer is option 'D'. Can you explain this answer?
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Brigadier Rastogi travels from A to Bat 40 km/h on a bike. He travels from B to C at 10 km/h on cycle. The distance from A to Bisequal to B to C. Then he travels from C to A via B at 24 km/h by auto-rickshaw. Find his average speed.a) 20.5 km/hb) 21 km/hc) 18 km/hd) 19.2 km/hCorrect answer is option 'D'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Brigadier Rastogi travels from A to Bat 40 km/h on a bike. He travels from B to C at 10 km/h on cycle. The distance from A to Bisequal to B to C. Then he travels from C to A via B at 24 km/h by auto-rickshaw. Find his average speed.a) 20.5 km/hb) 21 km/hc) 18 km/hd) 19.2 km/hCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Brigadier Rastogi travels from A to Bat 40 km/h on a bike. He travels from B to C at 10 km/h on cycle. The distance from A to Bisequal to B to C. Then he travels from C to A via B at 24 km/h by auto-rickshaw. Find his average speed.a) 20.5 km/hb) 21 km/hc) 18 km/hd) 19.2 km/hCorrect answer is option 'D'. Can you explain this answer?.
Brigadier Rastogi travels from A to Bat 40 km/h on a bike. He travels from B to C at 10 km/h on cycle. The distance from A to Bisequal to B to C. Then he travels from C to A via B at 24 km/h by auto-rickshaw. Find his average speed.a) 20.5 km/hb) 21 km/hc) 18 km/hd) 19.2 km/hCorrect answer is option 'D'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Brigadier Rastogi travels from A to Bat 40 km/h on a bike. He travels from B to C at 10 km/h on cycle. The distance from A to Bisequal to B to C. Then he travels from C to A via B at 24 km/h by auto-rickshaw. Find his average speed.a) 20.5 km/hb) 21 km/hc) 18 km/hd) 19.2 km/hCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Brigadier Rastogi travels from A to Bat 40 km/h on a bike. He travels from B to C at 10 km/h on cycle. The distance from A to Bisequal to B to C. Then he travels from C to A via B at 24 km/h by auto-rickshaw. Find his average speed.a) 20.5 km/hb) 21 km/hc) 18 km/hd) 19.2 km/hCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Brigadier Rastogi travels from A to Bat 40 km/h on a bike. He travels from B to C at 10 km/h on cycle. The distance from A to Bisequal to B to C. Then he travels from C to A via B at 24 km/h by auto-rickshaw. Find his average speed.a) 20.5 km/hb) 21 km/hc) 18 km/hd) 19.2 km/hCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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