Question:
What is the speed of the car?
I. The speed of a car is 10 km/hr more than that of a motorcycle.
II. The motorcycle takes 2 hr more than the car to cover 100 km.
What is the speed of the car?
I. The speed of a car is 10 km/hr more than that of a motorcycle.
II. The motorcycle takes 2 hr more than the car to cover 100 km.
II. The motorcycle takes 2 hr more than the car to cover 100 km.
Show Hint
When speeds are related by difference and times are related for a fixed distance, combining gives solvable equations.
Updated On: Mar 23, 2026
- The question can be answered by one of the statements alone but not by the other.
- The question can be answered by using either statement alone.
- The question can be answered by using both the statements together, but cannot be answered by using either statement alone.
- The question cannot be answered even by using both statements together.
Show Solution
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The Correct Option is C
Solution and Explanation
I alone: Only relates speeds of car and motorcycle, no absolute value. Not sufficient.
II alone: Only relates motorcycle’s speed and time difference, but car’s speed unknown. Not sufficient.
Together: Let motorcycle’s speed be $x$ km/hr. Car’s speed = $x+10$. From II: $\frac{100}{x} - \frac{100}{x+10} = 2$ gives a solvable equation for $x$ and hence the car’s speed.
II alone: Only relates motorcycle’s speed and time difference, but car’s speed unknown. Not sufficient.
Together: Let motorcycle’s speed be $x$ km/hr. Car’s speed = $x+10$. From II: $\frac{100}{x} - \frac{100}{x+10} = 2$ gives a solvable equation for $x$ and hence the car’s speed.
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