Question 1162230
<br>
Let A be the number of hours that workout plan A lasts; let B be the number of hours that workout plan B lasts.  Then<br>
2A+3B = 7
4A+8B = 17<br>
Solve the pair of equations.  The easiest way, because of the form of the two equations, is to eliminate A:<br>
4A+6B = 14   [the first equation, doubled]
4A+8B = 17   [the second equation]<br>
2B = 3   [the difference between these last two equations]
B = 1.5<br>
Plug that value into any of the earlier equations to find A = 1.25.<br>
ANSWER: Plan A workout lasts 1.25 hours, or 1 hour 15 minutes; plan B workout lasts 1.5 hours, or 1 hour 30 minutes.<br>