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Rate-Time-Distance ProblemsAlgebra 1
Rate-Time-Distance Problems•An object is in uniform motion when it moves without changing its speed, or rate. These problems fall into 3 categories: Motion in opposite directions, Motion in the same direction, & Round Trip. Each is solved using a chart, a sketch, and the distance formula.TDRRDTRTDor or
Motion in the Same DirectionA helicopter leaves Central Airport and flies north at 180 mi/h. Twenty minutes later a plane leaves the airport and follows the helicopter at 330 mi/h. How long does it take the plane to overtake the helicopter.⅓)
RateTimeDistanceHelicopterPlane180330t + ⅓t180(t + ⅓)330tWhen the plane overtakes the helicopter, the two distances are equal.31180330tt60180330tt60150tmin.24or h 52t
Officer Barbrady left his home at 2:15 PM and had driven 60 miles when he ran out of gas. He walked 2 miles to a gas station, where he arrived at 4:15 pm. If he drives 10 times as faster than he walks, how fast does he walk? DistanceRateTimeDrivingWalkingr10r602r2r1060
Set to Equal15):4to15:(22h WalkingTimeDrivingTime221060rr210201060rr180102rr4Office Barbrady walked at a rate of 4/mph121080r8020r