Long bridge

Roman walked on the bridge. When he heard the whistle, he turned and saw Kamil running at the beginning of the bridge. They would meet in the middle of the bridge if he went to him. Roman rushed and did not want to waste time returning 150m. He continued walking, and Kamil caught up with him at the end of the bridge. How long was the bridge?

Correct 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.



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Do you want to calculate the greatest common divisor of two or more numbers?
Do you have a system of equations and looking for calculator system of linear equations?
Do you want to convert length units?
Do you want to convert velocity (speed) units?

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

Related math problems and questions: