Answer: the rate of the river's current is 14 mph.
Step-by-step explanation:
Let x represent the rate of the river's current.
The speed of the motor boat in still water is 35 mph.
Since the boat travelled more miles downstream than upstream at the same time, it means that while going downstream, it moved in the direction of the current and while going upstream, it moved against the direction of the current. The total speed downstream would be
(35 + x) mph and the total speed upstream would be (35 - x) mph.
Time = distance/speed
If the boat can travel 7 miles downstream, the time spent travelling downstream is
7/(35 + x)
At the same time it takes to travel 3 miles upstream, the time spent travelling upstream is
3/(35 - x)
Since the time is the same, then
7/(35 + x) = 3/(35 - x)
Cross multiplying, it becomes
7(35 - x) = 3(35 + x)
245 - 7x = 105 + 3x
3x + 7x = 245 - 105
10x = 140
x = 140/10
x = 14
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Step-by-step explanation:
Answer:
Please check the attached graph.
Step-by-step explanation:
<em>Note: You did not add the graph; so I am taking a sample graph to clear the concept anyway. Please check the referred graph attached below.</em>
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The slope on the graph basically tells us the time rate of change.
- In other words, it describes the steepness of a straight line.
The slope can also be termed as:
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From the attached graph, taking twp points
Finding the slope between (0, 3) and (-1, 0) using the formula




Thus, the slope of the given line on the graph = m = 3