A car covers a certain distance in 7 hours with a uniform speed. The same distance could have been covered in 6 hours if the speed of the car was increased by 10 Km/h. What is the distance covered?

420 Km

The correct answer is Option (3) → 420 Km

Let the original speed of the car be x km/h.

Distance covered in 7 hours:

$\text{Distance} = 7x$

If the speed is increased by 10 km/h, new speed = $x + 10$.

Same distance covered in 6 hours:

$\text{Distance} = 6(x + 10)$

Since distances are equal:

$7x = 6(x + 10)$

$7x = 6x + 60$

$x = 60 \text{ km/h}$

Now, distance:

$7 \times 60 = 420 \text{ km}$