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A man completes his journey in 6 hours. He covers half the distance at 10 km/h and the rest at 20 km/h. The length of the
journey is:
30 km
10 km
80 km
20 km
- Let's break down the journey:
- Half the journey is covered at 10 km/h.
- The other half is covered at 20 km/h.
- Let’s assume the total distance of the journey is 2D:
- Distance for the first half = D, Speed = 10 km/h
- Distance for the second half = D, Speed = 20 km/h
- Time taken for first half = Distance/Speed = D/10 hours
- Time taken for second half = Distance/Speed = D/20 hours
- Total time = D/10 + D/20 = 6 hours
- Solve the equation:
- Multiply everything by 20 to clear the fractions:
- 2D + D = 120
- 3D = 120
- D = 40
- So, total distance = 2D = 2 × 40 = 80 km
- 80 km is the total length of the journey.
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