SOLUTION: a person rowed her boat upstream a distance of 5 miles and then back to the starting point. The total time of the trip was 6 hours. If the rate of the current was 2 miles per hour,
Algebra.Com
Question 446098: a person rowed her boat upstream a distance of 5 miles and then back to the starting point. The total time of the trip was 6 hours. If the rate of the current was 2 miles per hour, find the average speed of the boat in still water
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Boat speed x
current speed 2
against current x-2 mph
with current x+ 2 mph
Distance= 5 miles
Time against + time with = 6 hours
t=d/r
Find the roots of the equation by quadratic formula
a= 6, b= -10, c= -24,
b^2-4ac=100+576
b^2-4ac=676
sqrt(676)=26
x1=(10 +26)/12
x1=3
x2=(10-26)/12
x2= -1.33
Ignore negative value
3 mph speed of boat in still water
RELATED QUESTIONS
Meg rowed her boat upstream a distance of 5 miles and then rowed back to the starting... (answered by mananth)
Meg rowed her boat upstream a distance of 5 miles and then rowed back to the starting... (answered by mananth)
Helping my child do her math and could use some help.
A person rowed her boat upstream (answered by ewatrrr)
Meg rowed her boat upstream a distance of 72 miles and then rowed back to the starting... (answered by josgarithmetic)
Meg rowed her boat upstream a distance of 40 miles and then rowed back to the starting... (answered by mananth)
Meg rowed her boat upstream a distance of 21 miles and then rowed back to the starting... (answered by richwmiller)
Meg rowed her boat upstream a distance of 20 miles and then rowed back to the starting... (answered by josgarithmetic,MathTherapy)
A person rowed her boat upstream for a distance of 32 miles and then rowed backed to the... (answered by Alan3354,josmiceli,richwmiller)
Meg rowed her boat upstream a distance of 39 mi and then rowed back to the starting... (answered by stanbon)