SOLUTION: At 12 noon, Jack leaves at 53 kph to catch Jill who had a one hour head start. If Jack was still 26 km behind @ 8 pm, how fast was Jill going?

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Question 188548: At 12 noon, Jack leaves at 53 kph to catch Jill who had a one hour head start. If Jack was still 26 km behind @ 8 pm, how fast was Jill going?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let b= Jill's speed
For Jack:
d%5Ba%5D+=+r%5Ba%5D%2At%5Ba%5D
For Jill:
d%5Bb%5D+=+r%5Bb%5D%2At%5Bb%5D
given:
t%5Ba%5D+=+2 hr
r%5Ba%5D+=+53 km/hr
t%5Bb%5D+=+3 hr
d%5Ba%5D+=+d%5Bb%5D+-+26 km
----------------------
Rewriting equations:
(1) d%5Bb%5D+-+26+=+53%2A2
(1) d%5Bb%5D+=+106+%2B+26
(1) d%5Bb%5D+=+132
(2) d%5Bb%5D+=+r%5Bb%5D%2A3
(2) 132+=+3%2Ar%5Bb%5D
(2) r%5Bb%5D+=+132%2F3
(2) r%5Bb%5D+=+44 km/hr answer