Question

Amit starts from a point A and walks to another point B, and then returns from B to A by his car and thus takes a total time of 6 hours and 45 minutes. If he had driven both ways in his car, he would have taken 2 hours less. How long would it take for him to walk both ways?

• A. $7$ hours $45$ minutes
• B. $8$ hours $15$ minutes
• C. $8$ hours $30$ minutes
• D. $8$ hours $45$ minutes

Answer 1

The correct option is D $8$ hours $45$ minutes

Let the distance be $x$ km.

(Time taken to walk $x$ km) + (Time taken to drive $x$ km) $=\frac{27}{4}$ hrs.

$\Rightarrow$ (Time taken to walk $2x$ km) + (Time taken to drive $2x$ km) $=\frac{27}{2}$ hrs.

But time taken to drive $2x$ km $=\frac{19}{4}$hrs.

Therefore, time taken to walk $2x$ km is:

$\frac{27}{2}-\frac{19}{4}=\frac{54}{4}-\frac{19}{4}=\frac{54-19}{4}=\frac{35}{4}=8\frac{3}{4}$

Hence, it would take $8$ hours $45$ minutes for him to walk both ways.