Question

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

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

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

Answer 1

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

Given:
Distance of fuel pump from the starting point = $\frac{5}{6}$ miles
Distance further traveled = $\frac{7}{6}$ miles

Step 1: Total distance traveled = $\frac{7}{6}$ + $\frac{5}{6}$
= $\frac{12}{6}$
= 2 miles

Step 2: Subtract the distance that he overshoots from the total distance he travels. i.e,

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


Therefore, option (b) is the correct answer.