- A5
- B2
- C3
- D4
Step-by-Step Solution
The first stage covers km. Let the second stage last hours: → → hours. Check: km. The trap 5 is the TOTAL journey time (2 + 3), not the time spent at the higher speed.
Answer: C) 3
A train runs for 2 hours at 55 km/h and then continues at 70 km/h, covering 320 km altogether. For how many hours does it run at 70 km/h?
Class 8Linear Equations in One VariableLinear Equations
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.
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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