Question

Pune taxi services has a fixed charge plus a variable charge based on the distance covered. For travelling 10km the total fare paid by Somu is Rs.150 and for a journey of 15km the total fare paid by Ramu is RS220. Then Tomy will pay _as the total fare for travelling a distance of 25 km.

• A. Rs. 350
• B. Rs. 380
• C. Rs. 360
• D. Rs. 400

Answer 1

Answer: (C)

Rs. 360

Answer 2

Let's denote the fixed charge as $F$ and the variable charge per kilometer as $V$.
Given:
1. For traveling 10 km, Somu pays Rs. 150:
$F + 10V = 150$
2. For traveling 15 km, Ramu pays Rs. 220:
$F + 15V = 220$
We have two linear equations:
$F + 10V = 150$
$F + 15V = 220$
To find $F$ and $V$, subtract the first equation from the second:
$(F + 15V) - (F + 10V) = 220 - 150$
$5V = 70$
$V = 14$
Now, substitute $V$ back into the first equation to find $F$:
$F + 10(14) = 150$
$F + 140 = 150$
$F = 10$
Now that we have $F$ and $V$, we can find the total fare for Tomy who travels 25 km:
$F + 25V = 10 + 25(14)$
$F + 25V = 10 + 350$
$F + 25V = 360$
Thus, Tomy will pay Rs. 360 for traveling 25 km.
Answer: C Rs. 360