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An auto-rickshaw charges ₹30 for the first kilometre and ₹12 for every additional kilometre. Rahul's ride cost him ₹138. How many kilometres did he travel?

Class 8Linear Equations in One VariableLinear Equations
  • A9
  • B10
  • C11.5
  • D8

Step-by-Step Solution

Let the ride be km; then km are charged at ₹12 each: → → → km. Check: . The trap 9 is the number of ADDITIONAL kilometres, and 11.5 comes from dividing 138 by 12 while ignoring the fixed first-kilometre charge.
Answer: B) 10

Key idea: Equations with brackets

Open the brackets first using distributive property; then continue with the standard recipe.

Example: .

- Distribute: .
- Move left and −6 right: .
- Combine: .
- Divide by −1: .

Verify: ; . ✓

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