let

v = the speed of the freight, v>0

v + 7 = the speed of the steamboat (steamboat travels 7 km/h faster than a freighter)

d1 = 98 km the distance the freight travels

d2 = 112 km the distance the steamboat travels

since speed = distance/time follows time = distance/speed:

d1/v = d2/(v + 7)

98/v = 112/(v + 7)

by solving we find:

v = 49 km/h

click here to see the step by step solution of the equation:

49 + 7 = 56

the speed of the freight is 49 km/h.

the speed of the steamboat is 56 km/h.