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