Mathematics word equation

Question

it took a motorboat two hours more to travel 32 miles Against The Current then it took to travel 32 miles with the current. The rate of the current was for miles per hour. Find the rate of the boat in calm water.

Answer 1

32 miles

2 hours faster down stream

d=tr

distance = time x rate of speed

32= (t+2)(m-c)

32=(t)(m+c)

where t = time downstream,

m=motorboar speed in still water,

c= current speed

32=(t+2)(m-4)

32=t(m+4)

m=12 mph motorboat speed

32=2(12+4)=2(16)

32=4(12-4)=4(8)

4 = 2 hours longer upstream =2+2