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:

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