math
posted by john on .
A river has a current of 4 mph. Find the speed of Simon’s boat in still water if it goes 40 miles downstream in the same time as 24 miles upstream.

speed of boat  x mph
speed downstream = x+4
speed upstream = x4
time upstream = 24/(x4)
time downstream = 40/(x+4)
40/(x+4)= 24/(x4)
crossmultiply
40x  160 = 24x + 96
16x = 256
x = 16