Amit starts from a point A and walks to another point B and then returns from B to A by his car and thus… · ABC26GN3750
Subject: General Aptitude · Chapter: Time and Distance · Exam: Civil Services 2007
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
Answer (as printed): D
Explanation
Let the distance be $x \mathrm{km}$. Then, (Time taken to walk $x \mathrm{km}$ ) + (Time taken to drive $x \mathrm{km}$ ) $$=\frac{27}{4} \mathrm{hrs}$$ ⇒ (Time taken to walk $2 x \mathrm{km}$ ) + (Time taken to drive $2 x \mathrm{km}$ ) $$=\frac{27}{2} \mathrm{hrs} .$$ But time taken to drive $2 x \mathrm{km}=\frac{19}{4} \mathrm{hrs}$. $$\begin{aligned} \therefore \text { Time taken to walk } 2 x \mathrm{km} & =\left(\frac{27}{2}-\frac{19}{4}\right) \mathrm{hrs} \\ =\frac{35}{4} \mathrm{hrs} & =8 \mathrm{hrs} 45 \mathrm{min} . \end{aligned}$$