Unit 3 · Measurement and Data

Five Friends on a Line — How Far Jood to Kerry?

Lesson 12 of 13

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Draw the line: Felipe–Gina–Heng–Jood–Kerry. Felipe is 400 m from Heng. Gina is 3× as far from Felipe as from Heng, so Gina-Heng = 100 m. Jood is also 100 m from Heng on the other side. Heng-Kerry = 850 − 400 = 450 m. Jood-Kerry = 450 − 100 = 350 m.

Chapters

0:00Introduction
0:25The Question
1:14Establishing the baseline coordinate axis
1:46Determining Gina's precise position
2:19Locating Jood and calculating the final distance
2:56Exam strategy — the linear axis visualisation
3:33Confirming the final option

Question

Five friends live in houses on a long straight road in this order:

Felipe, Gina, Heng, Jood, Kerry

Felipe lives 400 m from Heng and 850 m from Kerry.

Gina lives three times as far from Felipe as she lives from Heng.

Gina and Jood live equal distances from Heng.

How far does Jood live from Kerry?

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