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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.

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On a coordinate plane, 3 triangles are shown. Triangle B C D has points (1, 4), (1, 2), (5, 3). Triangle B prime C prime D prime
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The rule which describe the composition of transformations that

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Reflection across the y-axis composition translation of 6 units x,

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Step-by-step explanation:

Let us revise the reflection across the y-axis , horizontal translation

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1. If point (x , y) is reflected across the y-axis, then its image is (-x , y)

2. If point (x , y) is translated h units to the right, then its image is

   (x + h , y), if translated h units to the left, then its image is (x - h , y)

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∵ The vertices of triangle B'C'D' are (-1 , 4) , (-1 , 2) , (-5 , 3)

∵ The x-coordinates of the vertices of Δ B'C'D' have the same

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∵ The vertices of triangle B'C'D' are (-1 , 4) , (-1 , 2) , (-5 , 3)

∵ The vertices of triangle B''C''D'' are (5 , -1) , (5 , -3) , (1 , -2)

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∴ The x-coordinates of the vertices of triangle B'C'D' are added by 6

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∴ Δ B"C"D" is the image of Δ B'C'D' by translate 6 units to the right

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The rule which describe the composition of transformations that

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Reflection across the y-axis composition translation of 6 units x,

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Learn more:

You can learn more about reflection in brainly.com/question/11203617

#LearnwithBrainly

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