kellstudying
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A group of tourists went downstream a river and are supposed to return in 3 hours. How far can the tourists travel down the river if the speed of the current is 2 mph, and the speed of the boat in still water is 18 mph?

Respuesta :

irspow
d=vt

So they will travel downstream and upstream the same distance.  Downstream they will travel:

d=(2+18)t1

Upstream they will travel:

u=(18-2)t2

Since d=u we can say:

20t1=16t2

We are told the trip lasts 3 hours so t1+t2=3, t2=3-t1, using this in the equation above we have:

20t1=16(3-t1)

20t1=48-16t1

36t1=48

t1=4/3 hours, and from earlier we saw that d=20t1 so:

d=20*4/3

d=80/3 miles

d=26 2/3 miles.

raphealnwobi

The distance travelled by the tourist down the river was 26.7 meters.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

From the question:

(2 + 18)t₁ = d₁

Also:

(18 - 2)t₂ = d₂

But d₂ = d₁, hence:

16t₂ = 20t₁     (1)

Also:

t₁ + t₂ = 3    (2)

Hence:

t₁ = 4/3, t₂ = 5/3

d₁ = 16(5/3) = 26.7 m

The distance travelled by the tourist down the river was 26.7 meters.

Find out more on equation at: https://brainly.com/question/2972832

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