Johnnys Riverboat Tours sends their tour boat along the Mississippi River where the current is running at 3 miles per hous. If the tour boat travels 36 miles up stream in the same time it takes to travel 62 miles downstream, what is the speed of the tour boat in still water? It neeeds an equation
+23246 Let b represent the speed of the boat in still water.
The boat's speed downstream will be b + 3.
The boat's speed upstream will be b - 3.
Distance = rate x time
Upstream: 36 = (b - 3)(t) where t represents the time.
Downstream: 62 = (b + 3)(t) same time upsteam as downstream
Solving the top equation for t: 36/(b - 3) = t
Solving the second equation: 62/(b + 3) = t
Since they both equal t, the equal each other: 36/(b - 3) = 62/(b + 3)
Cross-multiplying: 36(b + 3) = 62(b - 3)
Simplifying: 36b + 108 = 62b - 186
Simpligying: 108 = 26b - 186
Simplifying: 294 = 26b
Dividing: b = 11.3 mph (approximately)
+23246 Let b represent the speed of the boat in still water.
The boat's speed downstream will be b + 3.
The boat's speed upstream will be b - 3.
Distance = rate x time
Upstream: 36 = (b - 3)(t) where t represents the time.
Downstream: 62 = (b + 3)(t) same time upsteam as downstream
Solving the top equation for t: 36/(b - 3) = t
Solving the second equation: 62/(b + 3) = t
Since they both equal t, the equal each other: 36/(b - 3) = 62/(b + 3)
Cross-multiplying: 36(b + 3) = 62(b - 3)
Simplifying: 36b + 108 = 62b - 186
Simpligying: 108 = 26b - 186
Simplifying: 294 = 26b
Dividing: b = 11.3 mph (approximately)
