# 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?

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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 km
2. 18 km
3. 26 km
4. 14 km

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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