An echo-sounder in a fishing boat receives an echo from a shoal of fish 0.45 s after it was sent. If the speed of sound in water is 1500 m/s, how deep is the shoal?

The data that can be listed from the sum given are,

speed v= 1500 m/s

time in which the signal is recieved back 

i.e time for going+time for coming back i.e 2t = 0.45 s 

therefore t = 0.225s


To find distance d = ?


Solution - 

velocity, distcance and time can be related as

distance =  speed x time 

d = v x t

d = 1500 x 0.225

d = 337.5m

the distance between the shoal and the echo sounder is 337.5m