Problema Solution
a grain barge travels on a river point A to Point B loading and unloading grain. The barge travels at a rate of 3 mph relative to the water. The river flows downstream at a rate of 1mph. If the trip takes 2 hours longer than the trip downstream, how far is it from point A to point B?
Answer provided by our tutors
traveling downstream:
time = x hrs ;
rate = 3+1 = 4 mph
distance = time*rate = 4x miles
traveling upstream:
time = x+2 hrs ;
rate = 3-1 = 2 mph;
distance = time*rate = 2(x+2)
the traveled downstream = the distance upstream
4x = 2(x+2)
by solving we find
x = 2 hrs
click here to see the step by step solution of the equation
distance from A to B is 4x = 4*2 = 8 miles.