Let the time spent in walking = x minutes
And the time spent in jogging = y minutes
If I walk with the speed = 0.05 miles per minute
Distance covered in walking = Speed × Time
= 0.05x miles
If I jog with the speed = 0.1 miles per minute
Distance covered in jogging = Speed × Time
= 0.1y miles
Since, screen displays the distance covered in walking and jogging = 2.5 miles
Equation for the situation will be,
0.05x + 0.1y = 2.5
5x + 10y = 250
x + 2y = 50 -------(1)
Total time spent in walking and jogging = 30 minutes
Therefore, equation for the situation will be,
x + y = 30 ----- (2)
By subtracting equation (2) from equation (1),
(x + 2y) - (x + y) = 50 - 30
y = 20 minutes
By substituting the value of y in equation (2),
x + 20 = 30
x = 10 minutes
Therefore, time spent in walking is 10 minutes and time spent in jogging is 20 minutes.
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