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Two men start together to walk a certain distance, one at 4 km/h and another at 3 km/h. The former arrives half an hour before the latter. Find the distance(in km).

Respuesta :

Answer:

distance = 6 km

Step-by-step explanation:

To find the distance, we can use this formula:

[tex]\boxed{s=v\cdot t}[/tex]

where:

  • [tex]s[/tex] = distance
  • [tex]v[/tex] = speed
  • [tex]t[/tex] = time

Given:

  • [tex]v_1[/tex] = 4 km/h
  • [tex]v_2[/tex] = 3 km/h
  • [tex]s_1=s_2[/tex]
  • [tex]t_2=t_1+0.5[/tex]

[tex]s_1=s_2[/tex]

[tex]v_1\cdot t_1=v_2\cdot t_2[/tex]

[tex]4(t_1)=3(t_1+0.5)[/tex]

[tex]4t_1=3t_1+1.5[/tex]

[tex]t_1=1.5\ h[/tex]

[tex]s_1=v_1\cdot t_1[/tex]

   [tex]=4\times1.5[/tex]

   [tex]=\bf 6\ km[/tex]

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