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
Goshia [24]
3 years ago
6

A boat on a river travels downstream between two points, 90 mi apart, in 1 h. The return trip against the current takes 2 1 2 h.

What is the boat's speed (in still water)?
Mathematics
1 answer:
docker41 [41]3 years ago
7 0

Answer:

A)63miles per hour.

B)27 miles per hour

Step-by-step explanation:

HERE IS THE COMPLETE QUESTION

boat on a river travels downstream between two points, 90 mi apart, in 1 h. The return trip against the current takes 2 1 2 h. What is the boat's speed (in still water)??b) How fast does the current in the river flow?

Let the speed of boat in still water = V(boat)

speed of current=V(current)

To calculate speed of boat downstream, we add speed of boat in still water and speed of current. This can be expressed as

[V(boat) +V(current)]

It was stated that it takes 1hour for the

boat to travels between two points of 90 mi apart downstream.

To calculate speed of boat against current, we will substact speed of current from speed of boat in still water. This can be expressed as

[V(boat) - V(current)]

and it was stated that it takes 2 1/2 for return trip against the Current

But we know but Speed= distance/time

Then if we input the stated values we have

V(boat) + V(current)]= 90/1 ---------eqn(1)

V(boat) - V(current) = 90/2.5----------eqn(2)

Adding the equations we have

V(boat) + V(current) + [V(boat) - V(current)]= 90/2.5 + 90/1

V(boat) + V(current) + V(boat) - V(current)]=90+36

2V(boat)= 126

V(boat)=63miles per hour.

Hence, Therefore, the speed of boat in still water is 63 miles per hour.

?b) How fast does the current in the river flow?

the speed of the current in the river, we can be calculated if we input V(boat)=63miles per hour. Into eqn(1)

V(boat) + V(current)]= 90/1

63+V(current)=90

V(current)= 27 miles per hour

Hence,Therefore, the speed of current is 27 miles per hour.

You might be interested in
A rainwater collection barrel has the dimensions shown.
Kipish [7]

Answer:

56

Step-by-step explanation:

if it is lenght by width then you would multiply the two numbers

8 0
3 years ago
Read 2 more answers
Kayla has a bowl of beads that contains 42 yellow beads, 28 green beads, 12 white beads, and 18 red beads. She randomly draws a
podryga [215]
42 + 28 + 12 + 18 = 100 total beads

probability of not drawing a yellow or a green : (12 + 18) / 100 = 30/100 reduces to 3/10 or 30%

probability of drawing a red or green : (18 + 28) / 100 = 46/100 reduces to
23/50 or 46%


8 0
2 years ago
Read 2 more answers
PLEASE HELP I WILL HELP YOU
Sidana [21]

Answer:

5 is the answer

Step-by-step explanation:

hope this helps

7 0
2 years ago
Jenny is cooking a chicken for dinner. A chicken needs to be cooked for 40 mins per kilogram, plus an extra 20 mins. How long wi
goldenfox [79]

1.679 kg * (40 min)/(kg) + 20 min = 67.16 min + 20 min = 87.16 min

7 0
3 years ago
Please help !!!!!
ziro4ka [17]

Answer:

Volume: 1080

Surface Area: 684

7 0
2 years ago
Other questions:
  • What is the value of the summation ∑i=14(2i+6i2)
    12·1 answer
  • What is the value of x? Enter your answer, as a decimal, in the box.
    11·1 answer
  • A comedy show sells lower level tickets for $77 and upper level tickets for $99. On the opening night 2615 tickets were sold for
    8·2 answers
  • Find the coordinate of you prime after a Glide reflection of the triangle: translation 3 units down and 2 units right then a ref
    11·1 answer
  • Can you please help me asp because I am really confuse !. Plus you get 14 points!!
    8·2 answers
  • Rashid spent $31.84 on gas for his car. Gas was $1.99 per gallon. How many gallons did Rashid purchase?
    8·1 answer
  • − 5/6 ​x=−10/3 solve for X​
    15·2 answers
  • Please help me id you want BRIANLEIST!!! :)) ty!!!
    6·2 answers
  • In the diagram below, what is the ratio of unshaded parts to shaded parts?
    7·1 answer
  • Is 459 divisible by 12
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!