question_answer

A private taxi charges a fare of Rs. 260 for a journey of 200 km. How much would it travel for Rs. 279.50?

Answer:

Let the distance travelled by a taxi = x km, then

Fare (in Rupees)	260	279.50
Distance (in km)	200	x

Clearly, the taxi will travel more for more money, then by direct variation.

\[\frac{260}{279.50}=\frac{200}{x}\]

\[\Rightarrow \]            \[x=\frac{200\times 279.50}{260}\]

\[\Rightarrow \]                        \[x=215\]

Hence, the taxi will travel, \[3x\left( 4x5 \right)+3=215\]km