Question

James fills his tank after traveling for $\frac{5}{6}$ km from the starting point and then travels for another $\frac{7}{6}$ km.

If he overshoots his destination by $\frac{1}{6}$ km and has to travel backwards. How far is his destination from the starting point A?

• A. $\frac{9}{6}$ km
• B. $\frac{11}{6}$ km
• C. 2 km
• D. $\frac{13}{6}$ km

Answer 1

The correct option is B $\frac{11}{6}$ km

Given:
Distance of fuel pump from the starting point = $\frac{5}{6}$ km
Distance further traveled = $\frac{7}{6}$ km
Total distance traveled = $\frac{7}{6}$ + $\frac{5}{6}$
= $\frac{12}{6}$
= 2 km

Final destination after he overshoots
= $\frac{12}{6}$ - $\frac{1}{6}$ = $\frac{11}{6}$ km


Therefore, option (b) is the correct answer.