Question 1157943
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From the condition, you have this equation

    15*P = 10*(2P - 98)

where P is the speed of the Private, and (2P-98) is the speed of the commercial jet.


Simplify and solve

    15P = 20P - 980

    980 = 20P - 15P

    5P = 980

     P = {{{980/5}}} =  196.


<U>ANSWER</U>.  Private jet speed is 196 mph; Commercial jet speed is  2*196-98 = 294 mph.
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Solved.