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Alenkinab [10]
2 years ago
5

Excursion boat on the river takes 2 1/2 hours to make the trip to a point 12 miles upstream and to return if the rate at which t

he boat travels in Still water is five times the rate of the river current what is the rate of the current
Mathematics
1 answer:
Mama L [17]2 years ago
3 0

Answer:

Let the current speed be "c";

Then the boat speed in still wate is "5c":

-----------------------

Upstream speed:

distance = 12 miles ; rate = 5c-c = 4c mph ; time = 12/4c = 3/c hrs

---------------------------

Downstream speed:

distance = 12 miles ; rate = 5c+c = 6c mph ; time = 12/6c = 2/c hrs

Step-by-step explanation:

Equation:

time + time = 2 1/2 hrs

3/c + 2/c = 5/2

Multiply thru by 2c to get:

6 + 4 = 5c

c = 2 mph (speed of the current)

5c = 10 mph (speed of the boat in still water)

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Answer:

6(25 - 3M)

Thats the correct answer

5 0
3 years ago
How many pairs of whole numbers have a sum of 40
Alex
For the writer, <span><span>there are 20
1.       </span>1 + 39 = 40</span> <span><span>
2.       </span>2 + 38 = 40</span>
<span><span>3.       </span>3 + 37 = 40</span>
<span><span>4.       </span>4 + 36 = 40</span> <span><span>
5.       </span>5 + 35 = 40</span> <span><span>
6.       </span>6 + 34 = 40</span>
<span><span>7.       </span>7 + 33 = 40</span>
<span><span>8.       </span>8 + 32 = 40</span> <span><span>
9.       </span>9 + 31 = 40</span>
<span><span>10.   </span>10 + 30 = 40</span> <span><span>
11.   </span>11 + 29 = 40</span> <span><span>
12.   </span>12 + 28 = 40</span>
<span><span>13.   </span>13 + 27 = 40</span> <span><span>
14.   </span>14 + 26 = 40</span> <span><span>
15.   </span>15 + 25 = 40</span> <span><span>
16.   </span>16 + 24 = 40</span> <span><span>
17.   </span>17 + 23 = 40</span> <span><span>
18.   </span>18 + 22 = 40</span> <span><span>
19.   </span>19 + 21 = 40</span> <span><span>
20.   </span>20 + 20 = 40</span>



5 0
3 years ago
One pipe can fill a pool in 9 hours. Another pipe can fill the pool in 6 hours. How long would it take them to fill the pool if
kow [346]

Answer:

3.6 hours or 3 hours and 36 minutes.

Step-by-step explanation:

If the first pipe can fill the pool in 9 hours that means that in 1 hour it fills \frac{1}{9} of the pool, we use the same logic for the second pipe and conclude that in 1 hour it feels up \frac{1}{6} of the pool. If both were to fill the pool together that means that in 1 hour they would fill...

\frac{1}{9} +\frac{1}{6} = \frac{5}{18} of the pool in 1 hour.

Now to find how many hours it will take divide the pool by the speed with which it is getting filled.

1 / \frac{5}{18} = 3.6 hours

3.6 hours in other words is 3 hours and 36 minutes.

3 0
2 years ago
A person sitting in the top row of the bleachers at a sporting event drops a pair of sunglasses from a height of 24 feet. The fu
jolli1 [7]
Well here's my work:
=16(2)+24
=32+24
=56

So 56 seconds.
3 0
3 years ago
Tyler used 1 1/4 gallons of paint to paint 5/7 of a fence. How many gallons will it take to paint the whole fence? Explain or sh
mina [271]

For this case we have missing \frac {2} {7}of fence to be painted.

To paint \frac {5} {7} of fence we used:

1 \frac {1} {4} = \frac {4 * 1 + 1} {4} = \frac {5} {4}gallons of paint. So, we make a rule of three:

\frac {5} {4} ------------> \frac {5} {7}\\x --------------------------> \frac {2} {7}

Where the variable "x" represents the gallons of paint needed to paint the missing fence

x = \frac {\frac {2} {7} * \frac {5} {4}} {\frac {5} {7}}\\x = \frac {70} {140} = \frac {1} {2} = 0.5

Thus, 0.5 gallons of paint is missing for the missing fence.

Answer

0.5 gallons

4 0
3 years ago
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