- A60 km
- B180 km
- C135 km
- D240 km
Step-by-Step Solution
Passenger: 3 h at ; Express: h at . Same distance: . Distance km. (60 is the speed, not the distance.)
Answer: B) 180 km
Both trains in the timetable run the whole way between the two stations at a steady speed. The Express is 20 km/h faster. How far is Agra Cantt from Gwalior along the track?
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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