SOLUTION: if a recruit cyclist is riding at 17 km per hour how long will it take in hours and minutes for her to overtake her tutor who left 3 hours ahead and is cycling at 7km per hour

Question 631356: if a recruit cyclist is riding at 17 km per hour how long will it take in hours and minutes for her to overtake her tutor who left 3 hours ahead and is cycling at 7km per hour
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The tutor's head start is km
------------
Start a stopwatch when the recruit cyclist leaves.
They will now travel for the same amount of
time until they meet.
------------
Let = the distance the R.C. will travel
until she catches tutor
Tutor's equation:
(1)
R.C. equation:
(2)
------------
By substitution:
(1)
(1)
(1) hrs
min
The R.C. will overtake the Tutor in 2 hrs and 6 min
--------
check:
(1)
(1)
(1)
(1) km
and
(2)
(2)
(2) km
OK
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