a) 510 km

b) 525 km

c) 540 km

d) 555 km

Correct answer is: c) 540 km

#### Explanation

₹15 is required to travel 90 km

\therefore ₹1 is required to travel =\large\frac{90}{15} km

\therefore ₹90 is required to travel =\large\left(\frac{90\times90}{15}\right) km

\rightarrow 540 km**Ans: ** 540 km can be traveled by ₹90.

###### Another way, Rules of Three Method

Rupees and Distance are Directly Proportional.

\therefore\;15\;:\;90\;:\;:\;90\;:\;x

\rightarrow\large\frac{15}{90}=\frac{90}{x}

\rightarrow 15x=90\times90

\rightarrow x=\large\frac{90\times90}{15}

\rightarrow x=540 km**Ans:** With ₹90 we can travel 540 km.

##### An alternative way to phrase this particular math query is possible:

**If ₹15 is needed to travel 90 km, how far can be traveled with ₹90?****How many kilometers can be traveled with ₹90 if ₹15 is sufficient to cover 90 km?****Given that ₹15 allows travel for 90 km, how much distance can be covered with ₹90?****If ₹15 enables travel for 90 km, what distance can be covered with ₹90?**