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2 years ago

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a mountaineer climbed 1,000 feet at a rate of x feet per hour, he climbed and additional 5,000 feet at a different rate. this ra

te was 10 feet per hour less than twice the first rate. which expression represents the number of hours the mountaineer climbed?

2 answers:

Greeley [361]2 years ago

5 0

Answer:

$\frac{1000}{x} +\frac{2500}{x-5}$

Step-by-step explanation:

Total time T = (distance 1)/ (speed 1) + (distance 2)/ ( speed 2)

Distance covered by the mountaineer = 1000 feet

Speed of climbing = x feet per hour

Time taken will be = $\frac{1000}{x}$

Additional distance covered by him = 5000 feet

Speed to cover this distance = $2x-10$ or $2(x-5)$

So, total time T = $\frac{1000}{x} +\frac{5000}{2(x-5)}$

T = $\frac{1000}{x} +\frac{2500}{x-5}$

marshall27 [118]2 years ago

3 0

A mountaineer climbed 1000 feet at a rate of x feet/hour

1000 = x ( t 1 ) eq1

5000 = X ( t 2) eq2 ( he climbed additional at different rate )

the rate was 10 feet / hour less than twice the first rate

X = 2x - 10 eq3

take eq1 and eq 2

( total time = t 1 + t 2 = T)

T = 1000/x + 5000/X

but X = 2x-10

T = 1000/x + 5000/( 2x -10)

T = 1000/x + 5000/( 2(x-5))

T = 1000/x + 2500 / (x-5)

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nalin [4]

Answer:

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Step-by-step explanation:

Please see the picture below.

1. First we are going to name the side of the larger square as x.

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2 years ago

An ostrich can run 25 miles in 40 minutes. How many minutes will it take the ostrich to run 40 miles if it runs at the same spee

fenix001 [56]

The Ostrich will take 64 minutes to cover 40 miles.

Data;

rate = 25 miles in 40 minute

<h3>Rate</h3>

To calculate the time it will take the ostrich to cover 40 miles, we have to compare it with the rate (speed).

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divide both sides by the coefficient of x

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From the calculations above, it would take the ostrich 64 minutes to cover 40 miles.

Learn more on rates here;

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