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IgorLugansk [536]
3 years ago
12

A boat can travel 40mph in still water. If it travels 126 miles with the current in the same length of time it travels 114 miles

against the current, what is the speed of the current?
no links please
Mathematics
1 answer:
Elena-2011 [213]3 years ago
8 0

Answer:

rate of the current = 2 mph

Step-by-step explanation:

d = rt

Let c = rate of the current

Rate going downstream = c + 40

Time going downstream = 126/(40 + c)

Rate going up stream =  40 - c

Time going upstream = 114/(40 - c)

Since the times are equal, then

126/(40 + c) = 114/(40 - c)

126(40 - c) = 114(40 + c)

5040 - 126c = 4560 + 114c

   240c  =  480

          c = 2 mph

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Solve the following problem then write your answer before the number.
Triss [41]

Answer:

1) Rizza's average speed is 27 km/h.

2) The distance between Barretto and Pampanga is 294 km.

3) Aaron's journey was 3.5 hours long.

Step-by-step explanation:

1) Time taken to cove the distance = 20 minutes

60 minutes = 1 hour

So that, 20 minutes = \frac{20}{60} hours

                                 = \frac{1}{3} hours

Distance covered = 9 km

But,

speed = \frac{distance covered}{time taken}

Rizza's average speed = 9 ÷ \frac{1}{3}

                                       = 9 x 3

                                       = 27 km/h

Rizza's average speed is 27 km/h.

2) Time taken = 3.5 h

the car's average speed = 84 km/h

Distance between Barretto and Pampanga = average speed x time taken

                                           = 84 km/h x 3.5 h

                                           = 294 km

The distance between Baretto and Pampanga is 294 km.

3) The uniform speed implies that Aaron did not accelerate during his journey.

Distance covered = 210 km

uniform speed = 60 km/h

time taken = \frac{distance covered}{speed}

                   = \frac{210}{60}

                   = 3.5 hours

Aaron's journey was 3.5 hours long.

6 0
3 years ago
Can i get some help on this question?
galben [10]

Answer:

a. 12.5

Step-by-step explanation:

Scale factor of ∆LMN to ∆XYZ = 2:5

To find length of side ZX, set the ratio of the corresponding sides of interest equal to the scale factor.

Thus:

ZX corresponds to NL = 5

NL:ZX = 2:5

5:ZX = 2:5

5/ZX = 2/5

Cross multiply

5*5 = ZX*2

25 = ZX*2

Divide both sides by 2

25/2 = ZX

12.5 = ZX

ZX = 12.5

4 0
3 years ago
Please answer this correctly
Naya [18.7K]

Answer:

20% is the correct answer

7 0
3 years ago
Read 2 more answers
Coach Burns charted the change in his runners’ 5K times from the first race of the year to the second race of the year. Which
Tom [10]

Yasim is Albert who ran the race at a time that was 15.7 seconds shorter, So, Yasim is the student who improved the most by decreasing the time needed to run the race.

<h2>Given that,</h2>

Coach Burns charted the change in his runners' 5K times from the first race of the year to the second race of the year.

<h3>We have to find,</h3>

Which student improved the most by decreasing the time needed to run the race?

<h3>According to the question,</h3>

Coach Burns charted the change in his runners' 5K times from the first race of the year to the second race of the year.

In the given option Yasim has the lowest value of the time which is -37.5 seconds.

Yasim was the most improved student because Yasim ran the second race in a time that was 37.4 seconds shorter than the first race.

Following Yasim is Albert who ran the race at a time that was 15.7 seconds shorter.

At the third place in improvement is Cody who actually was worse off than the first race along with the 4th place Hannah.

Hence, Yasim students improved the most by decreasing the time needed to run the race.

For more details about the Equation refer to the link given below.

brainly.com/question/3842749

7 0
2 years ago
How do I make more than 1 question (30 points)​
Lorico [155]

CLICK ON THE POIN AND SCHROOL DOWN

6 0
3 years ago
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