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?
Answer & explanation
Correct answer: option 3
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:
$7 \times 60 = 420 \text{ km}$