Question

a boat traveled 280 miles downtstream and back the trip downstream took 7 hours the trip back took 14 hours find the speed of the boat in still water and the speed of the current

Answer 1

The speed of the boat in still water is 30 mph and the speed of the current is 10 mph.

Step-by-step explanation:

To find the speed of the boat in still water, we can use the formula:

Speed of boat in still water = (Speed downstream + Speed upstream) / 2

Substituting the given values :-

Speed downstream = 280 miles / 7 hours

= 40 mph,

Speed upstream = 280 miles / 14 hours

= 20 mph

Speed of boat in still water = (40 mph + 20 mph) / 2

= 30 mph

To find the speed of the current, we can subtract the speed of the boat in still water from the speed downstream:

Speed of current = Speed downstream - Speed of boat in still water

= 40 mph - 30 mph

= 10 mph

Therefore, the speed of the boat in still water is 30 mph and the speed of the current is 10 mph.