contestada

A turtle and a snail are 300 feet apart when they start moving towards each other. The turtle is moving at a speed of 5 feet per minute, and the snail is moving at a speed of 1 foot per minute.How long will it take for them to aproch each other

Respuesta :

MysteryyyGirl86

Answer: 50 minutes

Explanation:

We can use the formula total feet = (turtle feet per minute) + (snail feet per minute)

300 = 5m + 1m

Combine like terms

300 = 6m

Divide both sides by 6 to isolate the variable

50=m

msm555

Answer:

50 minutes

Step-by-step explanation:

To find out how long it will take for the turtle and the snail to approach each other, we can use the formula:

[tex] \textsf{Time} = \dfrac{\textsf{Distance}}{\textsf{Relative Speed}} [/tex]

The relative speed is the sum of their individual speeds since they are moving towards each other.

Let:

  • [tex] T [/tex] be the time it takes for them to approach each other,
  • [tex] D [/tex] be the initial distance between them (300 feet),
  • [tex] S_{\textsf{turtle}} [/tex] be the speed of the turtle (5 feet per minute),
  • [tex] S_{\textsf{snail}} [/tex] be the speed of the snail (1 foot per minute).

The relative speed ([tex] S_{\textsf{relative}} [/tex]) is given by:

[tex] S_{\textsf{relative}} = S_{\textsf{turtle}} + S_{\textsf{snail}} [/tex]

Substitute the values:

[tex] S_{\textsf{relative}} = 5 + 1 = 6 \, \textsf{feet per minute} [/tex]

Now, use the formula for time:

[tex] T = \dfrac{D}{S_{\textsf{relative}}} [/tex]

Substitute the values:

[tex] T = \dfrac{300}{6} = 50 \, \textsf{minutes} [/tex]

So, it will take 50 minutes for the turtle and the snail to approach each other.

Otras preguntas