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You and a friend work in buildings six equal-length blocks apart, and you plan to meet for lunch. Your friend strolls leisurely at 1.2 m/s, while you like a brisker pace of 1.7 m/s . Knowing this, you pick a restaurant between the two buildings at which you and your friend will arrive at the same instant if both of you leave your respective buildings at the same instant?

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boffeemadrid

Answer:

3.51724 blocks

2.48275 blocks

Explanation:

L = Length of one block

t = Time taken by both person

[tex]Distance=Speed\times Time[/tex]

[tex]1.2t+1.7t=6L\\\Rightarrow 2.9t=6L\\\Rightarrow t=\dfrac{6}{2.9}L[/tex]

Distance that I walk

[tex]s=1.7t\\\Rightarrow s=1.7\times \dfrac{6}{2.9}L\\\Rightarrow s=3.51724L[/tex]

The Distance that I will walk is 3.51724 blocks

Distance my friend will walk

[tex]s=1.2t\\\Rightarrow s=1.2\times \dfrac{6}{2.9}L\\\Rightarrow s=2.48275L[/tex]

Distance my friend will walk is 2.48275 blocks

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