SOLUTION: A and B are two cars . they start to move with constant speed from the same spot at the same time . car A moves toward the east with speed 8 km/h . car B moves toward north with sp

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Question 757661: A and B are two cars . they start to move with constant speed from the same spot at the same time . car A moves toward the east with speed 8 km/h . car B moves toward north with speed Vb . after 2 hours the distance between the two cars is 200 km . find Vb ?!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A and B are two cars .
they start to move with constant speed from the same spot at the
same time .
car A moves toward the east with speed 8 km/h .
car B moves toward north with speed Vb .
after 2 hours the distance between the two cars is 200 km .
find Vb ?!
:
Dist = speed * time
2(8) = 16 km traveled by Car A
2Vb km traveled by car B
:
The is a pythag type problem; a^2 + b^2 = c^2, where:
a = 16
b = 2Vb
c = 200
therefore:
16^2 + (2Vb)^2 = 200^2
256 + 4Vb^2 = 40000
4Vb^2 = 40000 - 256
4Vb^2 = 39744
Vb^2 = 39744/4
Vb^2 = 9936
Vb = sqrt%289936%29
Vb = 99.68 km/hr
;
:
I'll let you check this: Car B travels 2*99.68 = 199.36 km
Use your calc enter: sqrt%2816%5E2+%2B+199.36%5E2%29