Long bridge

Robert was walking on a bridge. When he heard a whistle, he turned and saw Kevin running at the start of the bridge. If Robert had walked toward Kevin, they would have met in the middle of the bridge. Instead, Robert hurried forward, not wanting to walk back 150 m. He continued walking, and Kevin caught up with him at the end of the bridge. How long was the bridge?

Final Answer:

x =  900 m

Step-by-step explanation:


x = a+b
a -150 = x/2
a + 2·150 = x

a+b-x = 0
2a-x = 300
a-x = -300

Pivot: Row 1 ↔ Row 2
2a-x = 300
a+b-x = 0
a-x = -300

Row 2 - 1/2 · Row 1 → Row 2
2a-x = 300
b-0.5x = -150
a-x = -300

Row 3 - 1/2 · Row 1 → Row 3
2a-x = 300
b-0.5x = -150
-0.5x = -450


x = -450/-0.5 = 900
b = -150+0.5x = -150+0.5 · 900 = 300
a = 300+x/2 = 300+900/2 = 600

a = 600
b = 300
x = 900

Our linear equations calculator calculates it.



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You need to know the following knowledge to solve this word math problem:

algebrabasic operations and conceptsUnits of physical quantitiesthemes, topicsGrade of the word problem

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