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John travels \(\frac{2}{3}^{rd}\) of a distance by bike and remaining 6 km on foot. How many km does he travels in the whole journey?1. 28 km2. 18 km3. 26 km4. 14 km |
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Answer» Correct Answer - Option 2 : 18 km Given: John travels a distance by bike =\(\frac{2}{3}^{rd} \) of the total distance John travels a distance by foot = 6 km Calculation: Let us take the total distance travelled be x John travels a distance by foot = x - \(\frac{2}{3} \)x ⇒ \(\frac{1}{3} \) x -----------------------(I) John travels a distance by foot = 6 km -----------------------(ii) Equating (I) and (ii) 6 = \(\frac{1}{3} \)x x = 18 km ∴ The total distance travelled = 18 km
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