Let's break down the problem to find the total distances Bruce would cover this year.
Speed in Still Water: Bruce can row 36 km in 3 hours in still water. To find his speed in still water, we divide the total distance by the total time: Speed in still water = Distance / Time = 36 km / 3 hours = 12 km/h
Speed of the Stream: The speed of the stream is given as 4 km/h.
Round Trip Journey: If Bruce is rowing with the stream, his effective speed would be the sum of his speed in still water and the speed of the stream: Effective speed downstream = Speed in still water + Speed of the stream = 12 km/h + 4 km/h = 16 km/h
If Bruce is rowing against the stream, his effective speed would be the difference between his speed in still water and the speed of the stream: Effective speed upstream = Speed in still water - Speed of the stream = 12 km/h - 4 km/h = 8 km/h
Given that Bruce takes 6 hours for the round trip journey, we can set up the equation: Time downstream + Time upstream = Total time for round trip
Let's assume the distance of one-way travel is "d" km.
Time downstream = Distance downstream / Speed downstream = d km / 16 km/h = d/16 hours Time upstream = Distance upstream / Speed upstream = d km / 8 km/h = d/8 hours
So, we have the equation: d/16 + d/8 = 6
To solve for "d," we can multiply both sides of the equation by 16: d + 2d = 96 3d = 96 d = 32
Therefore, the distance of one-way travel is 32 km.
- Total Distances Covered: To find the total distances Bruce would cover this year, we need to consider the number of round trips he makes. Let's assume he makes "n" round trips in a year.
The total distance covered in one round trip is 2 times the one-way distance: Total distance in one round trip = 2 * 32 km = 64 km
Total distances covered in "n" round trips: Total distances covered = Total distance in one round trip * Number of round trips Total distances covered = 64 km * n
So, the total distances Bruce would cover this year are 64 km multiplied by the number of round trips, "n."