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two jets leave denver at 9:00 A.M., one flying east at a speed 50kn/h greater than the other, which is traveling west. At 11:00 A.M. the planes are 2500 km apart. find their speeds

Guest Nov 9, 2015

Best Answer 

 #1
avatar+90141 
+10

Two jets leave denver at 9:00 A.M., one flying east at a speed 50kn/h greater than the other, which is traveling west. At 11:00 A.M. the planes are 2500 km apart. find their speeds

 

Both planes have traveled for 2 hours at 11 AM.......let the speed of one plane = x......let the speed of the other be x + 50

 

And we have........Time * Rate   = Total Distance

 

2x + 2(x + 50)  = 2500   simplify

 

4x + 100  = 2500       subtract 100 from both sides

 

4x =  2400        divide both sides by 4

 

x = 600  km/hr       this is the speed of the slower plane

 

x + 50  = 650 km/hr      this is the speed of the faster plane

 

 

cool cool cool

CPhill  Nov 9, 2015
 #1
avatar+90141 
+10
Best Answer

Two jets leave denver at 9:00 A.M., one flying east at a speed 50kn/h greater than the other, which is traveling west. At 11:00 A.M. the planes are 2500 km apart. find their speeds

 

Both planes have traveled for 2 hours at 11 AM.......let the speed of one plane = x......let the speed of the other be x + 50

 

And we have........Time * Rate   = Total Distance

 

2x + 2(x + 50)  = 2500   simplify

 

4x + 100  = 2500       subtract 100 from both sides

 

4x =  2400        divide both sides by 4

 

x = 600  km/hr       this is the speed of the slower plane

 

x + 50  = 650 km/hr      this is the speed of the faster plane

 

 

cool cool cool

CPhill  Nov 9, 2015

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