Question

Sanjana travels $660$ km partly by train and partly by car. If she covers $300$ km by train and the rest by car, it takes $13.5$ hours. But if she travels $360$ km by train and the rest by car, she takes $30$ minutes longer. Find the time taken by Sanjana if she travels $660$ km by car (in hrs)

• A. $9$
• B. $10$
• C. $11$
• D. None of these

Answer 1

The correct option is C $11$

Let the speed of the train and car be $t$ km/hr and $c$ km/hr respectively.

As per the question, we have

$\frac{300}{t}+\frac{360}{c}=13.5$ ....(1)

and $\frac{360}{t}+\frac{300}{c}=14$ ....(2)

On solving (1) and (2), we get

$t=40$ km/hr abd $c=60$ km/hr

Therefore, the time taken by car to travel $660$ km $=\frac{660}{60}=11$ hours.