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

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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?

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Solution Summary

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

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