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an ordinary plane leaves an airport and flies due west at 180 kph. 2 hours later a jet leaves the same airport and flies due west at 900 kph. how far from the airport will the jet plane take over the ordinary plane

Sagot :

Distance = (Rate) (Time)
                                                               Rate           Time        Distance
Plane 1 (Ordinary plane)                  180                 x                 (180) (x) 
Plane 2 (Jet)                                        900                x-2               900 (x-2)

Looking for distance (How far?)

Equation:
    Distance traveled by ordinary plane = Distance traveled by jet
                       180 x = 900 (x-)
                       180 x = 900x - 1800
                       900x - 180x = 1800
                                    720x = 1800
                                    
                                    720x = 1800
                                      720 = 1800
                 
                                        x = 2.5
   
Distance from the airport the jet overtakes the ordinary plane:
        Distance = 900 km  (x-2 hr)
                                    hr.
                        = 900 km  (2.5-2 hr)
                                    hr
   
                        = 900 km  (0.5 hr)
                                    hr
                        = 450 kms