Word-Problems---Rate-Time-Distance-6.ppt - Rate-Time-Distance Problems Algebra 1 Rate-Time-Distance Problems An object is in uniform motion when it

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Rate-Time-Distance Problems Algebra 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 . T D R R D T RT D or 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. )
Rate Time Distance Helicopter Plane 180 330 t + t 180(t + ) 330t When the plane overtakes the helicopter, the two distances are equal. 3 1 180 330 t t 60 180 330 t t 60 150 t min. 24 or h 5 2 t
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? Distance Rate Time Driving Walking r 10r 60 2 r 2 r 10 60
Set to Equal 15) : 4 to 15 : (2 2h Walking Time Driving Time 2 2 10 60 r r 2 10 20 10 60 r r 1 80 10 2 r r 4 Office Barbrady walked at a rate of 4/mph 1 2 10 80 r 80 20 r