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Writing Equations from Word Problems : Time and Distance, Two Moving Objects

At 2:00 p.m. bike A is 4km north of point C and traveling south as 16km/h. At the same time, bike B is 2 km east of C and traveling east at 12km/h.

a. Show that t hours after 2:00 p.m. the distance between the bikes is:
square root (400t^2 - 80t + 20)

b. At what time is the distance between the bikes the least?

c. What is the distance between the bikes when they are closest?

Solution Summary

Equations are written to express time and distance from a word problem.

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