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A car covers a certain distance at 40 km/h. At 60 km/h it would cover the same distance in 1 hour less. Find the distance (in km).

Class 8Linear Equations in One VariableLinear Equations
  • A120
  • B3
  • C2
  • D180

Step-by-Step Solution

Let the slower trip take hours; the distance is the same either way, so → → → hours, and the distance is km. Check: 120 ÷ 40 = 3 h and 120 ÷ 60 = 2 h, exactly 1 hour apart. The traps 3 and 2 are the two travel times — the question asks for the distance.
Answer: A) 120

Key idea: The five-step recipe

For any linear equation in one variable, follow this order:

1. **Open brackets** if any (use distributive property).
2. **Clear fractions** by multiplying both sides by the LCM of all denominators.
3. **Move all variable terms to one side**, all constants to the other (transposition — flip signs).
4. **Combine like terms** on each side.
5. **Divide** both sides by the coefficient of the variable.

Then **verify** by substituting back into the original equation. Always.

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