Question

3) U, V and A are three cities on a straight road. The distance between U and A is
215 km, between V and A is 140 km and between U and V is 75 km. Which of
them is between the other two?
Solution:
d(U,A) = 215, d(V,A) = 140, d(U,V) = 75

Answer 1

Answer:

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Step-by-step explanation:

UA=215km I d

VA=140 km

UV=75

UV+VA=75+140=215

so UA = d UV + d VA

the city V is between the cities U and A

U-V-A

Answer 2

SOLUTION

GIVEN

U, V and A are three cities on a straight road. The distance between U and A is 215 km, between V and A is 140 km and between U and V is 75 km.

TO DETERMINE

Which of them is between the other two

EVALUATION

Here it is given that U, V and A are three cities on a straight road.

The distance between U and A is 215 km, between V and A is 140 km and between U and V is 75 km.

By the given condition ,

d(U,A) = 215, d(V,A) = 140, d(U,V) = 75

Thus we see that

d(U,A) = d(V,A) + d(U,V)

⇒ d(U,A) = d(U,V) + d(V,A)

Therefore V lies between U and A

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