# Cyclist vs boat

The cyclist wants to ride a short distance by boat, but when he stops at the pier, the boat does not pick up passengers yet and is preparing to leave. The cyclist decides that the boat will catch up at the next stop. The stop is 12km far along the water and 17 km along the cycle path. Both the boat and the cyclist will drive towards the next stop at the same time. Calculate the speed at which the cyclist must go to catch the boat at the next stop. Boat floats at a speed of 5 km/h.

Correct result:

v =  7.0833 km/h

#### Solution:

17 = v • (12/5)

12v = 85

v = 8512 ≈ 7.083333

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