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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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Best 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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