3x + y = 23 3x - 2y = 8
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The speed in running is 10 mph and speed in biking is 16 mph
<em><u>Solution:</u></em>
Given that, Cruz is training to compete in a triathlon
He left his house at 6:00 and ran until 7:30
Time taken for running = 1.5 hours
Then he rode his bike until 9:45
7: 30 to 9: 45 is biking time
Time taken for biking = 2.25 hours
He covered a total distance of 51 miles
Total distance = 51 miles
Let "x" be the speed in running
His speed when biking was 1.6 times his speed when running
Speed in biking = 1.6x
Total distance = distance in running + distance in biking
The distance is given by formula:
Therefore,
Thus speed in running is 10 miles per hour
Speed in biking = 1.6x = 1.6(10) = 16
Thus speed in running is 10 mph and speed in biking is 16 mph