Question : Arpit completes a journey in 10 hours. He covers half of the distance at 30 km/hr, and the remaining half of the distance at 70 km/hr. What is the length of the journey?
Option 1: 500 km
Option 2: 210 km
Option 3: 320 km
Option 4: 420 km
Correct Answer: 420 km
Solution :
$s_1$ = 30 km/hr
$s_2$ = 70 km/hr
Average speed $=\frac{2s_1s_2}{s_1+s_2}=\frac{2×30×70}{30+70}=\frac{4200}{100}= 42$ km/hr
Total time = 10 hr
Total distance = speed × total time = 42 × 10 = 420 km
Hence, the correct answer is 420 km.
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