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MAPS Leila is walking from the park at point P to a restaurant at point R. She wants to stop for a break when the distance she has traveled and the distance she has left to travel has a ratio of 3:5. At which point should Leila stop for her break?

Answer :

Varshamittal029go

The point at which Leila should stop to take break is (6.25 , 3.75)

Given P(10 , 3) and R (0 , 4)

The ratio is 3:5

Let the break point be point B.

The formula is : (n(x₁) ₊ m(x₂)/ m₊n , n(y₁) ₊ m(y₂)/ m₊n)

P(10,3) = (x₁ , y₁)

R(0,4) = (x₂ , y₂)

m:n = 3:5

B = (5(10) ₊ 3(0)/3₊5 , 5(3) ₊ 3(4)/3₊5)

B = (50₊0/8 , 15₊12/8)

B = (50/8 , 27/8)

B = (6.25 , 3.75)

Hence Leila should stop at point (6.25 , 3.75) for her break.

Learn more about coordinate geometry here:

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