A man decided to cover a distance of 6 km in 84 minutes. He decided to cover two thirds of the distance at 4 km / hr and the remaining at some different speed. Find the speed after the two third distance has been covered.

Sure, let's solve this step by step:

1. First, we need to find out how much distance the man covers at 4 km/hr. Since he covers two thirds of the total distance at this speed, we multiply 6 km by 2/3: (2/3) * 6 km = 4 km

2. Next, we need to find out how much time he spends covering this distance. We know that speed = distance / time, so we can rearrange this to find time = distance / speed: Time = 4 km / 4 km/hr = 1 hour = 60 minutes

3. Now we know that he spends 60 minutes covering the first 4 km. Since the total time he spends is 84 minutes, the time he spends covering the remaining distance is 84 minutes - 60 minutes = 24 minutes.

4. The remaining distance he needs to cover is the total distance minus the distance he has already covered: 6 km - 4 km = 2 km.

5. Finally, we can find his speed for the remaining distance. Using the formula speed = distance / time, and converting 24 minutes to hours (24/60 = 0.4 hours), we find: Speed = 2 km / 0.4 hours = 5 km/hr

So, the man's speed after the two third distance has been covered is 5 km/hr.

Sure, let's solve this step by step:

Step 1: First, we need to find out how much distance the man covers at 4 km/hr. Since he covers two-thirds of the total distance at this speed, we multiply 6 km by 2/3. This gives us 4 km.

Step 2: Now, we need to find out how much time he spends covering this 4 km. We know that speed = distance/time, so we can rearrange this to find time = distance/speed. Plugging in the values we have, time = 4 km / 4 km/hr = 1 hour. But since the time in the problem is given in minutes, we need to convert this to minutes. 1 hour = 60 minutes, so he spends 60 minutes covering the first 4 km.

Step 3: The total time he spends is 84 minutes, so the time he spends covering the remaining distance is 84 minutes - 60 minutes = 24 minutes.

Step 4: The remaining distance he needs to cover is the total distance - the distance he has already covered = 6 km - 4 km = 2 km.

Step 5: Now we can find out his speed for the remaining distance. Using the formula speed = distance/time, and converting the time to hours (since speed is given in km/hr), we get speed = 2 km / (24/60) hours = 5 km/hr.

So, the man's speed after the two third distance has been covered is 5 km/hr.