Answer :
Answer:
Speed of the wind = 2.65 mi\hr
Step-by-step explanation:
Let x be the speed of wind.
Given:
Jim runs on a still day = 5 mi/hr
Jim runs with the wind = 13 mi
Jim runs against the wind = 4 mi
We need to find the speed of the wind.
Solution:
From the above statement Jim speed with wind (5 + x) and speed against the wind (5 - x).
Using speed formula distance upon time.
[tex]speed = \frac{distance}{time}[/tex]
Rewrite the equation for time
[tex]time = \frac{distance}{speed}[/tex]
From the given statement time for both situation is same. So, we write the time equation for both.
[tex]\frac{13}{(5+x)} =\frac{4}{(5-x)}[/tex]
Using cross multiplication rule.
[tex]13(5-x)=4(5+x)[/tex]
[tex]65-13x=20+4x[/tex]
[tex]65-20=13x+4x[/tex]
[tex]17x=45[/tex]
[tex]x = \frac{45}{17}[/tex]
x = 2.65 mi\hr
Therefore, the speed of the wind is 2.65 mi\hr.
Answer: the rate of the wind is 2.65 mph
Step-by-step explanation:
Let x represent the speed of the wind.
Jim can run 5 miles per hour on level ground on a still day. One windy day, he runs 13 miles with the wind. This means that his total speed with the wind is (5 + x) mph.
Time = distance/speed
Time taken to cover 13 miles would be 13/(5 + x)
In the same amount of time runs 4 miles against the wind. This means that his total speed against the wind is (5 - x) mph. Time taken to cover 4 miles would be 4/(5 - x).
Since both times are the same, it means that
13/(5 + x) = 4/(5 - x)
Cross multiplying, it becomes
13(5 - x) = 4(5 + x)
65 - 13x = 20 + 4x
4x + 13x = 65 - 20
17x = 45
x = 45/17
x = 2.65