A boat has a speed of 5 mph in calm water. It takes the boat 3 hours to travel upstream but only 2 hours to travel the same distance downstream. Using the data in the table, what is the value of c, the speed of the current?


Distance (mi)
Rate (mph)
Time (hr)
Upstream
3 (5 minus c)
5 minus c
3
Downstream
2 (5 minus c)
5 + c
2
1 mph
2.5 mph
5 mph
7.5 mph

Respuesta :

The required speed of the current is 1 mph.


Given that,
A boat has a speed of 5 mph in calm water.
It takes the boat 3 hours to travel upstream but only 2 hours to travel the same distance downstream.
what is the value of c, the speed of the current is to be dtermined.

What is speed?

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

Here,
In a river boat problem, let the speed of the currently be c
The relative velocity plays a major role.
Now,
The relative velocity of the boat downstream to the current = 5 + c
Similarly the relative velocity of the boat upstream to the current = 5 - c
Since,
It takes the boat 3 hours to travel upstream but only 2 hours to travel the same distance downstream. Implies,
3(5 - c) = 2 (5 + c)
15 - 3c = 10 + 2c
5c = 5


Thus, the required speed of the current is 1 mph.

Learn more about speed here:
https://brainly.com/question/7359669

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