ALGEBRA
posted by NONO .
DURING THE FIRST PART OF A TRIP, A CANOEIST TRAVELS 35 MILES AT A CERTAIN SPEED. THE CANOEIST TRAVELS 17 MILES ON THE SECOND PART OF THE TRIP AT A SPEED OF 5 MPH SLOWER. THE TOTAL TIME FOR THE TRIP IS 3 HRS. WHAT WAS THE SPEED ON EACH PART OF THE TRIP?

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For this problem, let V be the speed during the first 35 miles. The speed will then be V5 during the last 17 miles.
The time spent at each speed equals distance divided by velocity at that time. The total time is 3 hours. Therefore:
35/V + 17/(V5) = 3
Solve that equation for V