Two boats traveling the same direction leave a harbor at noon. After 3 hr they are 60 miles apart, if one boat travels twice as fast as the other find the average rate of each boat

The boat 1 moves with a speed of 40mi/h, and boat 2 moves with a speed of 20mi/h.

Step-by-step explanation:

First, we know the relation:

Distance = Speed*Time.

We can define the average rate of the boats as the average speed of the boats.

Now, we know that two boats travel in the same direction, let's define:

S₁ = speed of boat 1.

S₂ = speed of boat 2.

We know that one travels twice as fast as the other, then we can write:

S₁ = 2*S₂

We also know that after 3 hours of travel, they are 60mi apart, then if the slower one travelled a distance D in 3 hours, then:

S₂*3h = D

And the faster one will travel D + 60mi

S₁*3h = (D + 60mi)

Then we have the equations:

S₂*3h = D

S₁*3h = (D + 60mi)

We can replace S₁ by 2*S₂ to get:

S₂*3h = D

(2*S₂)*3h = (D + 60mi)

Now we have isolated D in the above equation, we can just replace it in the second equation to get:

(2*S₂)*3h = (S₂*3h + 60mi)

Now we can solve this for S₂

S₂*6h = S₂*3h + 60mi

S₂*6h - S₂*3h = 60mi

S₂*3h = 60mi

S₂ = 60mi/3h = 20mi/h

The speed of boat 2 is 20mi/h

And we knew that:

S₁ = 2*S₂

then:

S₁ = 2*(20mi/h) = 40mi/h

answer:

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

explanation:

service only with 20% tip  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the  

service

−−−−−−  

so technically the answer is  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

however, the intention of the question provider may have been that your answer is to be  

$

87.12

(

1

+

8

100

)

=

$

94.09

to 2 decimal places.

'

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge  

.

→

$

72.60

20% tip  

20

100

×

$

72.60

=

$

14.52

−−−−−−  

←

add

$

87.12

tax  

8

100

×

$

87.12

=

$

6.97

−−−−−  

←

add

$

94.09

related questions

it is c, trust i got your back lol

step-by-step explanation: