The speed of a boat downstream is 15 km/hr and the speed of current is...
Given,
Speed of boat in downstream = 15 km/hr
Speed of current = 3 km/hr
Speed of boat in still water = 12 km/h
Time taken at upstream

= 1 hour 40 minutes
Time taken at downstream

∴ Total time = 2 hours 40 minutes
The speed of a boat downstream is 15 km/hr and the speed of current is...
To find the total time taken by the boat to cover 15 km upstream and 15 km downstream, we need to calculate the time taken for each leg of the journey separately and then add them together.
Given data:
Speed of boat downstream = 15 km/hr
Speed of current = 3 km/hr
1. Time taken for the downstream journey:
The effective speed of the boat when moving downstream is the sum of the boat's speed and the speed of the current. So, the effective speed is 15 km/hr + 3 km/hr = 18 km/hr.
Distance covered downstream = 15 km
Time taken = Distance / Speed = 15 km / 18 km/hr = 5/6 hr
Converting the time into minutes, we get 5/6 * 60 = 50 minutes.
2. Time taken for the upstream journey:
The effective speed of the boat when moving upstream is the difference between the boat's speed and the speed of the current. So, the effective speed is 15 km/hr - 3 km/hr = 12 km/hr.
Distance covered upstream = 15 km
Time taken = Distance / Speed = 15 km / 12 km/hr = 5/4 hr
Converting the time into minutes, we get 5/4 * 60 = 75 minutes.
3. Total time taken:
To find the total time taken, we add the time taken for the downstream journey and the time taken for the upstream journey.
Total time taken = 50 minutes + 75 minutes = 125 minutes.
Converting the total time into hours and minutes:
125 minutes = 2 hours + 5 minutes
Therefore, the total time taken by the boat to cover 15 km upstream and 15 km downstream is 2 hours and 5 minutes.
The correct option is A) 2 hours 40 minutes.