Question

дорога разделена на три участка. Общая длина 480 км. Первый участок составляет 60% от общей длины. Третий участок равен 4/5 от длины второго участка. Каковы длины участков?

Answer 1

1)480*0,6=288 - длина 1 участка

2) Пусть длина второго участка х следовательно длина третьего участка (4/5)*х

3) 288+х+(4/5)*х=480

х+(4/5)*х=192

5*х+4*х=960

х=320/3 - длина второго участка

и получается что третьего (320/3)*(5/4)=400/3

Answer 2

Calculating the Lengths of Road Segments

To calculate the lengths of the road segments, we can use the information provided about the proportions of the total length.

1. Total Length of the Road: - The total length of the road is 480 km.

2. Length of the First Segment: - The first segment constitutes 60% of the total length.

3. Length of the Third Segment in Relation to the Second Segment: - The third segment is equal to 4/5 of the length of the second segment.

Calculations

Let's calculate the lengths of the road segments based on the given information.

1. Length of the First Segment: - Length = 480 km * 60% = 480 km * 0.60 = 288 km

2. Length of the Second Segment: - Let's assume the length of the second segment is x km. - Length of the Third Segment = 4/5 * x

3. Length of the Third Segment: - Length = 480 km - (Length of First Segment + Length of Second Segment)

Final Lengths of the Road Segments

1. Length of the First Segment: - 288 km

2. Length of the Second Segment: - Let's solve for x: - x + 4/5 * x = 480 km - 288 km - 9/5 * x = 192 km - x = (192 km * 5) / 9 - x ≈ 106.67 km

3. Length of the Third Segment: - Length = 480 km - (288 km + 106.67 km) - Length ≈ 85.33 km

Therefore, the lengths of the road segments are approximately: - First Segment: 288 km - Second Segment: 106.67 km - Third Segment: 85.33 km