SOLUTION: At 8:00 am Nancy took off down a river in her boat heading north. Two hours later, William takes off down the same river in his boat also heading north. Nancy's boat speed is 3km/h

Question 1021016: At 8:00 am Nancy took off down a river in her boat heading north. Two hours later, William takes off down the same river in his boat also heading north. Nancy's boat speed is 3km/hour more than William's. At 12:00 pm, Nancy is 44 km ahead of William. What is the speed of each boat?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Nancy's boat speed
= William's boat speed
------------
Nancy's head start is:

-----------------
Time the boats from 10 PM to 12 PM
Let = distance in km from Nancy's
starting point at 10 PM
Nancy's equation:
(1)
William's equation:

(2)
--------------------------
Substitute (1) into (2)
(2)
(2)
(2)
(2)
(2)
and

---------------
Nancy's speed is 19 km/hr
William's speed is 16 km/hr
----------------------
check:
(1)
(1)
(1)
--------------
From 8PM to 10 PM, Nancy goes
km
From 10 PM to 12 PM, Nancy goes
km
-----------------
In the 4 hrs, she has gone km
From 10 PM to 12 PM, William goes
km
km
He is km behind her
Hope I got it!
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