PLEASEE HELP THERES TWO PARTS

5

AveGali [126]

Answer:

Total time taken by walking, running and cycling = 22 minutes.

Step-by-step explanation:

Let the speed of walking = x

As given,

The distance of walking = 1

Now,

As $Time = \frac{Distance }{Speed}$

⇒ Time traveled by walking = $\frac{1}{x}$

Now,

Given that - He runs twice as fast as he walks

⇒Speed of running = 2x

Also given distance traveled by running = 1

Time traveled by running = $\frac{1}{2x}$

Now,

Given that - he cycles one and a half times as fast as he runs.

⇒Speed of cycling = $\frac{3}{2}$ (2x) = 3x

Also given distance traveled by cycling = 1

Time traveled by cycling = $\frac{1}{3x}$

Now,

Total time traveled = Time traveled by walking + running + cycling

= $\frac{1}{x}$ + $\frac{1}{2x}$ + $\frac{1}{3x}$

= $\frac{6+3+2}{6x} = \frac{11}{6x}$

If he cycled the three mile , then total time taken = $\frac{1}{3x}$ + $\frac{1}{3x}$ + $\frac{1}{3x}$ = x

Given,

He takes ten minutes longer than he would do if he cycled the three miles

⇒x + 10 = $\frac{11}{6} x$

⇒ $x - \frac{11}{6} x = -10$

⇒ $-\frac{5}{6}x = -10$

⇒x = $\frac{60}{5}$ = 12

⇒x = 12

∴ we get

Total time traveled by walking + running + cycling = $\frac{11}{6} x = \frac{11}{6} (12) = 11 (2) = 22$ min

7 0

3 years ago

Simplify each expression

Hatshy [7]

Answer:

$5. \: \: 8 + 5(7) = 8 + 35 = 43$

I hope I helped you^_^

3 0

3 years ago

use < or > to compare 13 ×(54 +28) and 13 × 54 + 28 without calculating. Explain your reasoning

Firdavs [7]

What do you mean by without calculating?

6 0

3 years ago

Read 2 more answers

I really need a tutor, but I don’t have the option, help:(

sergij07 [2.7K]

Answer:

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Step by Step Explanation:

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3 0

3 years ago

I need help please!!

Ne4ueva [31]

Answer:

hyperbola

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8 0

3 years ago

PLEASEE HELP THERES TWO PARTS​

PLEASEE HELP THERES TWO PARTS