Two musicians, Maria and Perry, work at independent constant rates to tune a warehouse full of instruments. If both musicians start at the same time and work at their normal rates, they will complete the job in 45 minutes. However, if Perry were to work at twice Maria’s rate, they would take only 30 minutes. How long would it take Perry, working alone at his normal rate, to tune the warehouse full of instruments?	Choices
A) 1 hr 30 min B) 1 hr 45 min C) 2 hr D) 2 hr 20 min E) 3 hr
Sol:   Lets Perry Rate be P and Rate of Maria be M   (rate)*(time)= Work or rate = work/time   first equation=&gt; P+M = 1/45   converting it to hrs P+M= 1/(45/60) =&gt; 1/(3/4) =&gt;4/3   second equation =&gt; M+2M =&gt;1/30   converting it to hrs 3M=1/(30/60) =&gt;1/(1/2)= 
<gadget id="calculator">1/(1/2)</gadget>
<output>2</output>
&gt;2   therefore M= 2/3 and P=2/3   Rate of Perry = 2/3   time= work/rate (work = 1 job)   Time= 1.5 hrs   1 hr 30 minnswer 1 hr 30 min
<result>A</result>
Two musicians, Maria and Perry, work at independent constant rates to tune a warehouse full of instruments. If both musicians start at the same time and work at their normal rates, they will complete the job in 45 minutes. However, if Perry were to work at twice Maria’s rate, they would take only 30 minutes. How long would it take Perry, working alone at his normal rate, to tune the warehouse full of instruments?