Question

Two cars start moving from the same point. One travels south at 52 mi/h and the other travels west at 39 mi/h. At what rate (in mi/h) is the distance between the cars increasing three hours later

Answer 1

The answer is 195mile

Step by step explanation:

We've

• V(1)=52mi/h
• V(2)=39mi/h
• t=3 hour

to solve this we need to draw a triangle

then we need to find the distance traveled by each after 3 hours

• S = V × t
• Distance = Speed × Time

S(1) = t × V(1) = 3 × 52 = 156 mile

S(2) = t × V(2)= 3× 39 = 117 mile

the distance between them is our z

S(1) = x

S(2) = y

using the Pythagorean Theorem

z = √x^2 + y^2 = √(156)^2 + (117)^2 = √ 13689+24336 = √38025 = 195 mile