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A man covers half of his journey by train at 60 km/h, half of the remainder by bus at 30 km/h and the rest by cycle at 10 km/h. Find his average speed during the entire journey. (a) 36 kmph (b) 30 kmph (c) 24 kmph (d) 18 kmph?
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A man covers half of his journey by train at 60 km/h, half of the rema...
To find the average speed during the entire journey, we need to calculate the total distance covered and the total time taken.
Let's assume the total distance of the journey is D km.
**Distance covered by train:**
The man covers half of the journey by train, which is D/2 km. The speed of the train is 60 km/h. Therefore, the time taken to cover this distance is (D/2) / 60 = D/120 hours.
**Distance covered by bus:**
The remaining distance after the train journey is (D/2) km. The man covers half of this distance by bus, which is (D/4) km. The speed of the bus is 30 km/h. Therefore, the time taken to cover this distance is (D/4) / 30 = D/120 hours.
**Distance covered by cycle:**
The remaining distance after the bus journey is (D/4) km. The man covers this distance by cycle at a speed of 10 km/h. Therefore, the time taken to cover this distance is (D/4) / 10 = D/40 hours.
**Total distance covered:**
The total distance covered is D km.
**Total time taken:**
The total time taken is D/120 + D/120 + D/40 = (3D + D + 3D)/120 = 7D/120 = D/17 hours.
**Average speed:**
Average speed = Total distance covered / Total time taken
Average speed = D / (D/17)
Average speed = 17 km/h
Therefore, the average speed during the entire journey is 17 km/h.
The correct option is (d) 17 kmph.
Let's assume the total distance of the journey is D km.
**Distance covered by train:**
The man covers half of the journey by train, which is D/2 km. The speed of the train is 60 km/h. Therefore, the time taken to cover this distance is (D/2) / 60 = D/120 hours.
**Distance covered by bus:**
The remaining distance after the train journey is (D/2) km. The man covers half of this distance by bus, which is (D/4) km. The speed of the bus is 30 km/h. Therefore, the time taken to cover this distance is (D/4) / 30 = D/120 hours.
**Distance covered by cycle:**
The remaining distance after the bus journey is (D/4) km. The man covers this distance by cycle at a speed of 10 km/h. Therefore, the time taken to cover this distance is (D/4) / 10 = D/40 hours.
**Total distance covered:**
The total distance covered is D km.
**Total time taken:**
The total time taken is D/120 + D/120 + D/40 = (3D + D + 3D)/120 = 7D/120 = D/17 hours.
**Average speed:**
Average speed = Total distance covered / Total time taken
Average speed = D / (D/17)
Average speed = 17 km/h
Therefore, the average speed during the entire journey is 17 km/h.
The correct option is (d) 17 kmph.
Community Answer
A man covers half of his journey by train at 60 km/h, half of the rema...
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A man covers half of his journey by train at 60 km/h, half of the remainder by bus at 30 km/h and the rest by cycle at 10 km/h. Find his average speed during the entire journey. (a) 36 kmph (b) 30 kmph (c) 24 kmph (d) 18 kmph?
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A man covers half of his journey by train at 60 km/h, half of the remainder by bus at 30 km/h and the rest by cycle at 10 km/h. Find his average speed during the entire journey. (a) 36 kmph (b) 30 kmph (c) 24 kmph (d) 18 kmph? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A man covers half of his journey by train at 60 km/h, half of the remainder by bus at 30 km/h and the rest by cycle at 10 km/h. Find his average speed during the entire journey. (a) 36 kmph (b) 30 kmph (c) 24 kmph (d) 18 kmph? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man covers half of his journey by train at 60 km/h, half of the remainder by bus at 30 km/h and the rest by cycle at 10 km/h. Find his average speed during the entire journey. (a) 36 kmph (b) 30 kmph (c) 24 kmph (d) 18 kmph?.
A man covers half of his journey by train at 60 km/h, half of the remainder by bus at 30 km/h and the rest by cycle at 10 km/h. Find his average speed during the entire journey. (a) 36 kmph (b) 30 kmph (c) 24 kmph (d) 18 kmph? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A man covers half of his journey by train at 60 km/h, half of the remainder by bus at 30 km/h and the rest by cycle at 10 km/h. Find his average speed during the entire journey. (a) 36 kmph (b) 30 kmph (c) 24 kmph (d) 18 kmph? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man covers half of his journey by train at 60 km/h, half of the remainder by bus at 30 km/h and the rest by cycle at 10 km/h. Find his average speed during the entire journey. (a) 36 kmph (b) 30 kmph (c) 24 kmph (d) 18 kmph?.
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