SOLUTION: Emily rows six miles downstream in 1 hour and her friend Ashley, rowing 1 mile per hour faster,completes the return trip in 2 hours. a) Find the speed of the current and each gi

Question 856081: Emily rows six miles downstream in 1 hour and her friend Ashley, rowing 1 mile per hour faster,completes the return trip in 2 hours.
a) Find the speed of the current and each girl's rowing speed.

b) If Emily and Ashley were rowing separately, who would complete their trip first and by how long? (Round to hundredths if necessary)
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Emily rows six miles downstream in 1 hour and her friend Ashley, rowing 1 mile per hour faster, completes the return trip in 2 hours.
:
a) Find the speed of the current and each girl's rowing speed.
Let s = E's rowing speed
then
(s+1) = A's rowing speed
let c = speed of the current
Write an distance equation for each way. (Dist = speed * time
1(s + c) = 6
and
2(s+1-c) = 6
simplify the equation, divide by 2
s + 1 - c = 3
s - c = 3 - 1
s - c = 2
Use elimination on the two equation
s + c = 6
s - c = 2
------------adding eliminates c, find s
2s = 8
s = 4 mph is E's rowing speed, and 5 mph is A's rowing speed
find the current
4 + c = 6
c = 6 - 4
c = 2 mph is the current
:
b) If Emily and Ashley were rowing separately, who would complete their trip first and by how long? (Round to hundredths if necessary)
A rows 1 mph faster so she would complete the trip first
E's round trip time (6 mph down, 2 mph back)
+ = 4 hrs
A's round trip time (7 mph down, 3 mph back)
+ = 2.857 hrs
Difference:
4 - 2.857 = 1.14 hrs less

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