Creating Rational Equations to Model Real World Scenarios

A riverboat travels at an average of 14 km per hour in still water. The riverboat travels 100 km east up the Ohio River and 120 km west down the same river. What equation can be used

to find the current of the river? What is the current of the river?

Which of the following equations makes the most sense for the following situation: An airplane is travels at 525 mph in calm weather. The same airplane travels 450 mph against the wind and 575 mph with the wind. What equation can be used to find the speed of the wind? What is the speed of the wind?

Katherine can ride her bicycle to the library in 1.5 hours on clear sunny day.  The same trip on a windy day against the wind takes 2 hours and going with with wind it takes her 1 hour. What equation can be used

to find the speed of the wind? What is the speed of the wind?

Tags

CCSS.HSA.REI.A.2

A yacht travels at an average of 15 knots per hour in still water. The yacht travels 18 knots with the current and 10 knots against the current. What equation can be used to find the current? What is the current?

Tags

CCSS.8.EE.C.7B

Jasmine can drive her McLaren 60 mph in 2.5 seconds on clear sunny day.  On a windy day she can driver her McLaren with the wind 60 mph in 3.0 seconds and against the wind 55 mph in 2.3 seconds. What equation can be used to speed of the wind? What is the speed of the wind?

A cyclist travels at an average speed of 20 km/h on a flat road. On a hilly road, the cyclist travels 15 km/h uphill and 25 km/h downhill. What equation can be used to find the effect of the hill on the cyclist's speed? What is the effect of the hill?

A train travels at 80 km/h on a straight track. When the track is curved, the train travels at 70 km/h and 90 km/h on different sections. What equation can be used to find the effect of the curve on the train's speed? What is the effect of the curve?

A swimmer can swim at 2 m/s in still water. In a river, the swimmer swims 1.5 m/s upstream and 2.5 m/s downstream. What equation can be used to find the speed of the river current? What is the speed of the current?