Answer:
Rate of boat in still water = 70 km/hr
Rate of current = 15 km/hr
Step-by-step explanation:
Let the speed of motorboat in still water =
Let the speed of current =
Equivalent Speed upstream =
Equivalent Speed downstream =
Distance traveled upstream = 440 km
Time taken upstream = 8 hours
Using the formula:
Distance traveled downstream = 510 km
Time taken downstream = 6 hours
Adding (1) and (2):
By equation (1):
Therefore, the answer is:
Rate of boat in still water = 70 km/hr
Rate of current = 15 km/hr