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

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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) About Me  (Show Source):
You can put this solution on YOUR website!
The tutor's head start is +7%2A3+=+21+ km
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Start a stopwatch when the recruit cyclist leaves.
They will now travel for the same amount of
time until they meet.
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Let +d+ = the distance the R.C. will travel
until she catches tutor
Tutor's equation:
(1) +d+-+21+=+7t+
R.C. equation:
(2) +d+=+17t+
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By substitution:
(1) +17t+-+21+=+7t+
(1) +10t+=+21+
(1) +t+=+2.1+ hrs
+.1%2A60+=+6+ min
The R.C. will overtake the Tutor in 2 hrs and 6 min
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check:
(1) +d+-+21+=+7t+
(1) +d+-+21+=+7%2A2.1+
(1) +d+=+14.7+%2B+21+
(1) +d+=+35.7+ km
and
(2) +d+=+17t+
(2) +d+=+17%2A2.1+
(2) +d+=+35.7+ km
OK