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3 years ago

How would i simply this?

Mathematics

1 answer:

Dmitry_Shevchenko [17]3 years ago

3 0

Hello from MrBillDoesMath!

Answer:

1/3

Discussion:

The problem looks complicated until you realize the term n^-4 appears in both the numerator and denominator. Hence their quotient is 1. That is,

n ^(-4) / ( 3 * n^(-4)) =

(n ^(-4) / n^(-4) ) * (1/3) =

1 * (1/3) =

1/3

Thank you,

MrB

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Answer:

Speed of first skier = 5 km/h

Speed of second skier = 10 km/h

Step-by-step explanation:

Given:

Distance between skiers = 30 km

Time after which they meet = 2 hours

Second skier is 5 km/h faster than the first skier.

To find speed of each skier.

Solution:

Let the speed of first skier be in km/h = $x$

<em>Distance covered in km 2 hours will be = $Speed\times time=x\times 2=2x\ km$ </em>

Speed of second skier in km/h can be given as = $x+5$

<em>Distance traveled by second skier after 2 hours will be = $Speed\times time=(x+5)\times 2=(2x+10)\ km$ [Using distribution]</em>

Since, the skiers were 30 km apart initially, so the total distance covered by both of them when they meet after 2 hours will be = 30 km

Thus, we have:

$2x+2x+10=30$

Solving for $x$

$4x+10=30$

Subtracting both sides by 10.

$4x+10-10=30-10$

$4x=20$

Dividing both sides by 4.

$\frac{4x}{4}=\frac{20}{4}$

$x=5$

Speed of first skier = 5 km/h

Speed of second skier = $5+5$ = 10 km/h

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Answer:

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