All categories

3 years ago

A motorboat takes 3 hours to travel 108 kilometers going upstream. The return trip takes 2 hours going

Mathematics

1 answer:

IRISSAK [1]3 years ago

6 0

Answer:

45 km/h and 9 km/h

Step-by-step explanation:

Let the rate of boat in still water be b and the speed of the current be c

Speed downstream = b + c
Speed upstream = b - c

We got equations for time:

108/(b - c) = 3 ⇒ b - c = 36
108/(b + c) = 2 ⇒ b + c = 54

Add up the equations:

b - c + b + c = 36 + 54
2b = 90
b = 45 km/h

Then finding the values of c

c = 45 - 36 = 9 km/h

You might be interested in

Sixty miles per hour is the same rate as which of the following?

Genrish500 [490]

Answer:

C. 1 mile per minute.

Step-by-step explanation:

By proportion, 60 miles per hour = 1 mile per 1/60 of an hour.

1/60 hour = 1 minute.

8 0

3 years ago

The Lakewood Wildcats won 5 out of their first seven games in this year. There are 28 games in the season. About how many games

allochka39001 [22]

Answer:

The total number of matches expected to be won by Lakewood Wildcats in this season is 20.

Step-by-step explanation:

The number of games played by Lakewood Wildcats = 7

Number of matches won by Lakewood = 5

or, the ratio of Won : Played = 5: 7

Total numbers of games in the season = 28

Let the Lakewood Wildcats win m number of games.

Here, ratio of Won Matches : Played Matches = m : 28

Now, by RATIO OF PROPORTIONALITY:

$\frac{5}{7} = \frac{m}{28}$

⇒ $m = \frac{28 \times 5}{7} = 20$

or, m = 20

Hence, the total number of matches expected to be won by Lakewood Wildcats out of total 28 matches is 20.

5 0

3 years ago

BRAINLIEST!! 9. Describe the shape of the data distribution.

Umnica [9.8K]

Answer:

positive skewed

this is correct.

3 0

3 years ago

valerie has 20 stuff animals. she wants to store them in plastic bags. she estimates she can fit 3 stuffed animals in each bag.

Rudiy27

Answer: it’s not an even number it 6.6 repeating so if round up and say 7 bags

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Tarana mailed 20 greetings cards. 9 of them were mailed to USA. What percentage of the cards were mailed to USA?

Elza [17]

Answer:

45%

Step-by-step explanation:

9/20=0.45 (Divide it first), 45/100=45% (45/100 because 100 makes 1 whole -all 20 cards-)

7 0

3 years ago