A person walks at 14 km/h instead of 10 km/h and in the same time covers 20 km more distance. Find the actual distance traveled.

Question: A person walks at 14 km/h instead of 10 km/h and in the same time covers 20 km more distance. Find the actual distance traveled.

Solution:
Given that,
Usual speed = 10 km/h
Increased speed = 14 km/h
Extra distance covered = 20 km

Let the actual distance traveled be = d km

Now,
Time = d/10
And, At 14 km/h, distance covered in the same time = d + 20
So,
⇒ d/10 = (d + 20)/14
⇒ 14d = 10d + 200
⇒ 14d - 10d = 200
⇒ 4d = 200
⇒ d = 200/4
∴ d = 50 km

The actual distance traveled is 50 km.