Answer:
5 mi/h
Step-by-step explanation:
S = v*t
S - space (miles)
v - velocity (mi/h)
t - time (h)
stream speed = x
The distance upstream(S_1) is expressed by :
60 min -> 1 hour
S_1 = (10-x)*1
The distance downstream is expressed by :
20 min -> 0.3(3) hour
S_2 = (10+x)*0.3(3)
The distance traveled upstream for 60 min is equal to the distance traveled downstream in 20 min. -> S_1 = S_2
(10-x) * 1 = (10+x)*0.3(3)
10 - x = 3.3(3) + 0.3(3)x
6.6(6) = 1.3(3)x
x = 6.6(6) / 1.3(3)
x = 5 mi/h
The speed of the stream is equal to 5.79 mi/h
Given the following data:
To calculate the speed of the stream:
Speed can be defined as the distance covered by an object per unit time.
Mathematically, speed is given by the formula;
[tex]Speed = \frac{distance}{time}[/tex]
Note: The upstream distance of the boat must be equal to the downstream distance of the boat.
[tex]D_u = D_d\\\\(10-s) \times 1 = (10+s)0.33\\\\10-s=3.3+0.33s\\\\10-3.3=0.33s+s\\\\7.7=1.33s\\\\s=\frac{7.7}{1.33}[/tex]
Speed, s = 5.79 mi/h
Read more on speed here: https://brainly.com/question/10545161
