Consider statements A and B given below and decide whether they are enough to find the time needed for covering same distance downstream as upstream if a boat travels 48 kms upstream in 6 hours. Statement A – Boat’s speed in still water is 10 km/hr Statement B – Current speed is 2 km/hr

To find the time needed for covering the same distance downstream as upstream, we need to consider the speed of the boat in still water and the speed of the current.

Statement A tells us that the boat's speed in still water is 10 km/hr. This means that if there was no current, the boat would be able to travel at a speed of 10 km/hr.

Statement B tells us that the current speed is 2 km/hr. This means that the current is flowing at a speed of 2 km/hr.

To find the time needed for covering the same distance downstream as upstream, we need to take into account the effect of the current. When the boat is traveling downstream, the current helps to increase its speed. When the boat is traveling upstream, the current opposes its speed.

Since we know the speed of the boat in still water (10 km/hr) and the speed of the current (2 km/hr), we can calculate the effective speed of the boat when traveling downstream and upstream.

When traveling downstream, the effective speed of the boat is the sum of its speed in still water and the speed of the current. So, the effective speed is 10 km/hr + 2 km/hr = 12 km/hr.

When traveling upstream, the effective speed of the boat is the difference between its speed in still water and the speed of the current. So, the effective speed is 10 km/hr - 2 km/hr = 8 km/hr.

Now, we can use the given information that the boat travels 48 km upstream in 6 hours. Since the effective speed of the boat when traveling upstream is 8 km/hr, we can calculate the time needed to cover the same distance downstream.

Distance = Speed × Time

48 km = 8 km/hr × Time

Time = 48 km / 8 km/hr

Time = 6 hours

Therefore, the time needed for covering the same distance downstream as upstream is 6 hours.