I have been stuck on this question and would like to know how to solve it.

A mother horse and a baby horse walk 10 miles from point A to point B. The mother’s speed is 10 miles per hour, and the baby’s speed is 5 miles per hour. The mother rests for 2 minutes after every $ x $ minutes of walking. The baby keeps walking. They arrive together at the destination. Find the range of $ x $.

Question

I have been stuck on this question and would like to know how to solve it.

A mother horse and a baby horse walk 10 miles from point A to point B. The mother’s speed is 10 miles per hour, and the baby’s speed is 5 miles per hour. The mother rests for 2 minutes after every $ x $ minutes of walking. The baby keeps walking. They arrive together at the destination. Find the range of $ x $.

sweetyfairy1D · Answer

Find the actual walking time of Mama = 1 hr then Mama spends a total of 1 hr not walking Not walking time = walking time therefore After two min of walking (x), she rests two minutes x = 2

sweetyfairy1D · Answer

To find the range of x , we compare the total walking and resting times of both the mother and baby horses. The mother horse takes 60 minutes (including her rest) to complete 10 miles, while the baby horse takes 120 minutes. A detailed setup of walking and resting intervals allows us to derive the variables for x . 
 ;

Answer (2)

Related Questions in Mathematics

[Done] Select the correct answer. Which equation is equivalent to the given equation? [tex]$x^2-6 x=8$[/tex] A. [tex]$(x-6)^2=44$[/tex] B. [tex]$(x-3)^2=17$[/tex] C. [tex]$(x-6)^2=20$[/tex] D. [tex]$(x-3)^2=14$[/tex]

[Done] Which phrase best describes the translation from the graph [tex]y=6 x^2[/tex] to the graph of [tex]y=6(x+1)^2[/tex]? A. 6 units left B. 6 units right C. 1 unit left D. 1 unit right

[Done] What expression is equivalent to [tex]$\left(5 z^2+3 z+2\right)^2$[/tex] ? A. [tex]$5 z^4+3 z^2+4$[/tex] B. [tex]$5 z^4+9 z^2+4$[/tex] C. [tex]$25 z^4+30 z^3+19 z^2+12 z+4$[/tex] D. [tex]$25 z^4+30 z^3+29 z^2+12 z+4$[/tex]

[Done] The graph of [tex]y=\frac{5}{4} x+1[/tex] is shown below. The coordinate ([tex]0, y[/tex]) is a solution of the equation. Given the [tex]x[/tex]-value of 0, what is the value of the [tex]y[/tex]-coordinate for the coordinate ([tex]0, y[/tex])? [tex]y=[/tex] [blank]

[Done] If [tex]f(-2)=0[/tex], what are all the factors of the function [tex]f(x)=x^3-2 x^2-68 x-120[/tex]? Use the Remainder Theorem. A. [tex](x+2)(x+60)[/tex] B. [tex](x-2)(x-60)[/tex] C. [tex](x-10)(x+2)(x+6)[/tex] D. [tex](x+10)(x-2)(x-6)[/tex]