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
Sergio039 [100]
3 years ago
9

John has a boat that will travel at the rate of 15 kph in still water. He can go upstream for 35 km in the same time it takes to

go 140 km downstream. How fast is his boat traveling when he goes downstream?
Mathematics
1 answer:
Otrada [13]3 years ago
4 0

Answer:

The boat traveling at 24 kph when John goes downstream.

Step-by-step explanation:

We are given the following in the question:

John has a boat that will travel at the rate of 15 kph in still water.

Let x be the speed of the current.

Speed of boat in upstream

(15-x)\text{ kph}

Speed of water in downstream

(15+x)\text{ kph}

Relation:

\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}

We have to find the speed of boat in downstream.

Time to travel upstream for 35 km = Time to travel  140 km downstream

\displaystyle\frac{35}{15-x}=\frac{140}{15+x}\\\\35(15+x) = 140(15-x)\\525 + 35x = 2100 - 140x\\175x = 1575\\x = 9

Thus, speed of current is 9 kph.

Speed of boat in downstream = 15 + 9 = 24 kph.

Thus, the boat traveling at 24 kph when John goes downstream.

You might be interested in
Find the solution set of the inequality<br> 35- 4x &gt; 2
Orlov [11]
35-4x>2
-4x>2-35
-4x>-33
-x>-33/4
x<33/4    (x<8.25)

Solution: x<8.25.  or  x∈(-∞ , 8.25)
3 0
2 years ago
Simplify 4a²+1/3a+5+a²+4+1/3a
vladimir2022 [97]

Answer:

5a^2+\frac{2a}{3} + 9

Step-by-step explanation:

Refer to file. Trying something different. Should be easier to read than text format and is easier than mathML.

7 0
2 years ago
Evaluate the value of the expression<br>4(x+2-5x) when x=2​
mart [117]

Answer:

-24

Step-by-step explanation:

plz mark brainlyest

6 0
2 years ago
Thomas wants to spend no more than $25.50 movies and CDs. If he buys a movie for $9.50 and the CDs cost $5.00, how many CDs can
REY [17]

Answer:

3

Step-by-step explanation:

25.5-9.5=16

16-15=1 (highest multiple of 5 that fits into 16)

He can buy 3 cds and he will have $1 left over

8 0
3 years ago
What are the side lengths of a rectangle that has 8 square units and a perimeter of 12 units
telo118 [61]
The longest two sides will be 4 each and the shortest two sides will be 2 each
3 0
3 years ago
Other questions:
  • Robert drove at an average speed of 60 miles per hour for 6 hours. Nancy drove for 7 hours at an average speed of 56 miles per h
    13·1 answer
  • Nina has 8 bags of potting soil.She puts an equal amount of soil in 3 outdoor planters.How much potting soil does Nina put in ea
    8·2 answers
  • Convert the following improper fraction into a mixed number : 52/7
    9·1 answer
  • 1. Estimate the area of the irregular shape. Explain your method and show your work.
    9·1 answer
  • You want to estimate the number of students in your school who support extra funding for the music club. You survey every second
    14·1 answer
  • Help help help።help plz​
    12·1 answer
  • X 10.2.IP-11 The dictionary is 5 inches thick. What is the volume of the dictionary? 360 in 3 (Type a whole number.) Question is
    11·1 answer
  • Ari lives 4/5 of a mile from the park she has already walked 3/4 of the way to the park. How far has ari walked
    9·1 answer
  • Y=4x−9y, equals, 4, x, minus, 9<br> Complete the missing value in the solution to the equation
    13·1 answer
  • PLEASE HELP, ASAP (PLEASE, I MEAN THAT AS NICE AS POSSIBLE) GEOMTRY BTW
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!