Taxi charges in a city consist of fixed charges and the remaining charges depend upon the distance travelled. For a journey of 10 km, the charge paid is ₹75 and for a journey of 15 km, the charge paid

Question

Taxi charges in a city consist of fixed charges and the remaining charges depend upon the distance travelled. For a journey of 10 km, the charge paid is ₹75 and for a journey of 15 km, the charge paid is ₹110. Find the fixed charge and charges per km. Hence, find the charge of covering a distance of 35 km.

Accepted Answer

Step 1: Let fixed charge be ₹$x$ and charges per km be ₹$y$. $x + 10y = 75$ ... (i), $x + 15y = 110$ ... (ii)
Step 2: Solve equation (i) & (ii): $x = 5$ & $y = 7$
Step 3: $	herefore$ Total charge for 35 km $= x + 35y = 5 + 245 = $ ₹$250$

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