1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Marrrta [24]
3 years ago
10

A motorboat travels 165 kilometers in 3 hours going upstream and 510 kilometers in 6 hours going downstream. What is the rate of

the boat in still water and what is the rate of the current?
Mathematics
1 answer:
nikitadnepr [17]3 years ago
3 0
<h3>Rate of the boat in still water is 70 km/hr and rate of the current is 15 km/hr</h3><h3><u>Solution:</u></h3>

Given that,

A motorboat travels 165 kilometers in 3 hours going upstream and 510 kilometers in 6 hours going downstream

Therefore,

Upstream distance = 165 km

Upstream time = 3 hours

<h3><u>Find upstream speed:</u></h3>

speed = \frac{distance}{time}\\\\speed = \frac{165}{3}\\\\speed = 55

Thus upstream speed is 55 km per hour

Downstream distance = 510 km

Downstream time = 6 hours

<h3><u>Find downstream speed:</u></h3>

speed = \frac{510}{6}\\\\speed = 85

Thus downstream speed is 85 km per hour

<em><u>If the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then</u></em>

Speed downstream = u + v km/hr

Speed upstream = u - v km/hr

Therefore,

u + v = 85 ----- eqn 1

u - v = 55 ----- eqn 2

Solve both

Add them

u + v + u - v = 85 + 55

2u = 140

u = 70

<em><u>Substitute u = 70 in eqn 1</u></em>

70 + v = 85

v = 85 - 70

v = 15

Thus rate of the boat in still water is 70 km/hr and rate of the current is 15 km/hr

You might be interested in
What is the soloution set of the inequality 15y-9&lt;36
olga2289 [7]
The answer is y<3. Hope this helps. (correct me if im wrong and sorry for the bad handwriting)

5 0
3 years ago
Read 2 more answers
Arthur shuffled a regular deck of 52 playing cards
Alik [6]

Answer:

es la f

Step-by-step explanation:

6 0
2 years ago
Multiply (-3a + 4b) by 5a.​
Tasya [4]

Answer:

-15a^2+20ab

Step-by-step explanation:

Given data

We are given the expression

(-3a + 4b) to be multiplied by 5a

hence we have

(-3a + 4b)*5a

open bracket

-15a^2+20ab

Hence the answer is

-15a^2+20ab

7 0
3 years ago
Number 11 please help !!!
anzhelika [568]
What is the question? are you supposed to solve it
4 0
3 years ago
Please I need help this is due tomorrow (question:1-7) please no decimals
Ivan
1. D
2. A
3. B
4. A
5. C
6. D
7. A
7 0
3 years ago
Other questions:
  • In the figure, x ǁ y and a ǁ b.<br><br> What is m∠2?<br><br> m∠2 = ___°
    11·2 answers
  • Consider the dot plot which shows the distribution of data collected on the amount of time Marty spends playing video games each
    15·1 answer
  • Kyle was given the following question to solve.
    10·1 answer
  • GIVING BRAINLIEST!!!!
    9·1 answer
  • <img src="https://tex.z-dn.net/?f=x%20%2B%205%20%20%5Cgeqslant%2012%20%5C%5C%20" id="TexFormula1" title="x + 5 \geqslant 12 \\
    9·1 answer
  • Which rule describes the composition of transformations that maps pre- image ABCD to final image A“B“C“D“?
    9·2 answers
  • What's 168,356 rounded to the nearest 10 thousand
    7·1 answer
  • I need help will mark brainliest
    13·1 answer
  • Write an equation of the line that passes through the given points.
    14·1 answer
  • Find the value of x.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!