Alicia can row 6 miles downstream in the same time it takes her 4 miles to row upstream. She rows downstream 5miles/hour faster than she rows upstream. Find Alicia's rowing rate each way. Round your answers to the nearest tenth, if necessary.
Let x be the slower rate......and x + 5 is the faster rate
Equating times, we have......Distance / Rate = T ......so....
6miles /( x + 5)mph = 4 miles / (x) mph cross-multiply
6x = 4(x + 5)
6x = 4x + 20 subtract 4x from both sides
2x = 20 divide both sides by 2
x = 10 mph = the upstream rate
And x + 5 = the downstream rate = 10 + 5 = 15 mph
Let x be the slower rate......and x + 5 is the faster rate
Equating times, we have......Distance / Rate = T ......so....
6miles /( x + 5)mph = 4 miles / (x) mph cross-multiply
6x = 4(x + 5)
6x = 4x + 20 subtract 4x from both sides
2x = 20 divide both sides by 2
x = 10 mph = the upstream rate
And x + 5 = the downstream rate = 10 + 5 = 15 mph