Gas pipeline 564 km long. The length of the first section is 75% of the entire pipeline, while the length of the second

| December 21, 2020 | education

Gas pipeline 564 km long. The length of the first section is 75% of the entire pipeline, while the length of the second section is 3/5 of the length of the third section of the pipeline. Determine the length of each part of the pipeline.

1) let’s make the proportion:
564 km – 100 percent
? km (the length of the first part, we take it as x) -75 percent
solve crosswise and get
100x = 564 * 75
100x = 42300
divide by 100
x = 42300/100 = 423 km – the length of the first part

2) Subtract the length of the first part from the entire length of the gas pipeline and get the length of the second part + the length of the third part: 564-423 = 141 km

3) the second part = 3 / 5x, let’s take the third part for x km
Let’s make the equation: 3 / 5x + x = 141
1 whole 3/5 x = 141
8 / 5x = 141
x = 141: 8/5 = 141 * 5/8 = 88.125 km – third section

4) means the second section: 3/5 * 88.125 = 52.875 km

Answer: 423 km – part 1, part 3 – 88.125 km, part 2 – 52.875 km



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