Mathematics, 13.05.2021 18:30 yclark98563p5z2gt
A group of 4 frieds decide to attend a night of dinner and dancing on a cruise ship. The dinner and dance cruise will last 4 hours. The ship travels 18 km upstream and then travels back to the starting point. The river has a current of 2 km an hour. What is the cruise ship's speed and how long was the upstream journey
Answers: 3
), in hours, is the sum of the times for the upstream (
) and downstream journeys (
), in hours. Let suppose that both river and cruise ship travel at constant velocity, the cruise ship travels against the current in its upstream journey, whereas it is in favor of the current in the downstream journey, meaning that: 
(1)
- Speed of the current, in kilometers per hour.
- Speed of the cruise ship relative to the current, in kilometers per hour. 
, 
and 
, then we have the following expression:
, 
. Since the speed is the magnitude of the velocity, a realistic solution must be a positive quantity and the solution is:
(2)
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A group of 4 frieds decide to attend a night of dinner and dancing on a cruise ship. The dinner and...
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