Ratio & Proportion — Assertion Reason Type Questions

Assertion (A) : A car covers a distance of 140 km in 2 hours. The average speed of car = 70 km/h.

Reason (R) : For the same distance, if the speed is more, then the time taken is less.

1. A is true, R is false.

2. A is false, R is true.

3. Both A and R are true.

4. Both A and R are false.

Answer

We know that,

Average speed = $\dfrac{\text{Distance}}{\text{Time}} = \dfrac{140}{2} = 70$ km/h.

So, Assertion (A) is true.

For a fixed distance, speed and time are inversely proportional, so the greater the speed, the less the time taken.

So, Reason (R) is true.

Hence, option 3 is the correct option.