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Arpit completes a journey in 10 hours. He covers half of the distance at 30 km/h, and the remaining half of the distance at 70
km/h. What is the length of the journey?
500 km
210 km
320 km
420 km
- Let's denote the total distance as D.
- Half of the distance is D2.
- Arpit covers D2 at 30 km/h.
- Time taken to cover the first half: D2/30=D60.
- Arpit covers D2 at 70 km/h.
- Time taken to cover the second half: D2/70=D140.
- Total time for the journey is 10 hours.
- Equation: D60+D140=10.
- Solve the equation for D:
7D420+3D420=10
10D420=10
10D=4200
D=420
The correct answer is Option 4: 420 km.
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