SOLUTION: On Monday John walks for 2 hours, jogs for 1 hour, and covers a total of 22 km. On Tuesday he walks for 1 hour, jogs for 2 hours, and covers a total of 23 km. What are his rate wal

Algebra ->  Expressions-with-variables -> SOLUTION: On Monday John walks for 2 hours, jogs for 1 hour, and covers a total of 22 km. On Tuesday he walks for 1 hour, jogs for 2 hours, and covers a total of 23 km. What are his rate wal      Log On


   

Question 739658: On Monday John walks for 2 hours, jogs for 1 hour, and covers a total of 22 km. On Tuesday he walks for 1 hour, jogs for 2 hours, and covers a total of 23 km. What are his rate walking and his rate jogging?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +j+ = his rate jogging in km/hr
Let +w+ = his rate walking in km/hr
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(1) +2w+%2B+1%2Aj+=+22+ km
(2) +1%2Aw+%2B+2%2Aj+=+23+ km
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Multiply (1) by +2+ and subtract
(2) from (1)
(1) +4w+%2B+2j+=+44+
(2) +-w+-+2j+=+-23+
+3w+=+21+
+w+=+7+
and
(1) +2%2A7+%2B+1%2Aj+=+22+
(1) +14+%2B+j+=+22+
(1) +j+=+8+
His rate jogging is 8 km/hr
His rate walking is 7 km/hr
check:
(1) +2w+%2B+1%2Aj+=+22+ km
(1) +2%2A7+%2B+1%2A8+=+22+
(1) +14+%2B+8+=+22+
(1) +22+=+22+
and
(2) +1%2Aw+%2B+2%2Aj+=+23+ km
(2) +1%2A7+%2B+2%2A8+=+23+
(2) +7+%2B+16+=+23+
(2) +23+=+23+
OK