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A can complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.
  • a)
    220 km
  • b)
    224 km
  • c)
    230 km
  • d)
    234 km
Correct answer is option 'B'. Can you explain this answer?
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Solution:

Let the total journey be x km.

Distance covered in the first half of the journey = x/2 km

Distance covered in the second half of the journey = x/2 km

Time taken to cover the first half of the journey = (x/2)/21 hours

Time taken to cover the second half of the journey = (x/2)/24 hours

Total time taken to complete the journey = 10 hours

Therefore, (x/2)/21 + (x/2)/24 = 10

Multiplying both sides by 504, we get:

12x + 14x = 5040

26x = 5040

x = 5040/26

x = 224 km

Therefore, the total journey is 224 km.

Answer: Option B (224 km)
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A can complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.a)220 kmb)224 kmc)230 kmd)234 kmCorrect answer is option 'B'. Can you explain this answer?
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