Question

Out of a $500km$ journey, if a person travels for the first $300km$ with speed of $5km/h$, then for the rest he moves with a speed of $15km/h$. How much time was taken by him in total?

• A. $3\frac{1}{18}\text{days}$
• B. $3\frac{1}{4}\text{days}$
• C. $5\frac{11}{18}\text{days}$
• D. $2\frac{2}{18}\text{days}$

Answer 1

The correct option is A $3\frac{1}{18}\text{days}$

Time taken to cover $300km$ is :
$T=\frac{300}{5}=\text{60 hours}$
Again Time taken to cover $200km$ is :
$T=\frac{200}{15}=13\frac{1}{3}$
Total time taken $=60+13\frac{1}{3}\text{hours}$
$=73\frac{1}{3}\text{hours}$
$=\frac{220}{3}\text{days}$
$=\frac{220}{3\times 24}\text{days}$
$=3\frac{1}{18}\text{days}$
So, option $\text{D}$ is the correct answer.