Question

an underwater (but near the surface) explosions is detected by sonar on a ship 50s before it is heard on the deck. if sound travels at 8000ft/s in water and 1300ft/s in air, how far is the ship from the explosion?

Answer 1

i haved=8000t,d=1300(t+50)=1300t+65000

Answer 2

i'm not sure what to do next

Answer 3

d= 1300t+65000
d =8000t
you could subtract the 2 equations, and then solve for t
once you find t, you can find d

Answer 4

or you can set the d's equal (it is the same distance)
d= 1300t+65000
d =8000t

so you can say
8000t = 1300t+65000

now solve for t, and then use that t to find d

Answer 5

t=650/67

Answer 6

now find d

Answer 7

77612