If a man runs at 24 km/hr instead of 20 km/hr he could run 40 km more in the same time. Find the actual distance travelled by him.
Answer & explanation
Correct answer: option 2
Let the time taken be $t\text{ hours}$.
At 20 km/h, the distance covered is: $20t$
At 24 km/h, the distance covered is: $24t$
Given that at the higher speed he covers 40 km more in the same time:
$24t - 20t = 40$
$4t = 40$
$t = 10\text{ hours}$
Therefore, the actual distance (at 20 km/h) is:
$20 \times 10 = 200\text{ km}$