Question

Туристична група вирушила в похід у Карпати. За три дні туристи подолали (1)28 9/25 км. За перший день вони пройшли (2)11 7/10 км, за другий — на (3)4/5 км менше, ніж в перший день. Який шлях мали подолати туристи в останній день походу?

Answer 1

Ответ:$5\frac{23}{50}$ км

Пошаговое объяснение:

Пусть х км- прошли в третий день.

$11\frac{7}{10}+(11\frac{7}{10}-\frac{4}{5})+x=28\frac{9}{25}\\ 11\frac{7}{10}+(10\frac{17}{10}-\frac{8}{10} )+x=28\frac{9}{25}\\ 11\frac{7}{10}+10\frac{9}{10}+x=28\frac{36}{100}\\ 21\frac{19}{10}+x=28\frac{36}{10}\\ x=28\frac{36}{100}-22\frac{9}{10}\\x= 27\frac{136}{100} -22\frac{90}{100} =5\frac{136-90}{100}=5\frac{46}{100}=5\frac{23}{50}$

Answer 2

Calculation of the Total Distance Covered by the Tourists

To determine the distance the tourists had to cover on the last day of their hike in the Carpathian Mountains, we need to calculate the total distance covered in the first two days.

1. On the first day, the tourists covered 11 7/10 km. 2. On the second day, they covered 4/5 km less than on the first day.

To find the distance covered on the second day, we subtract 4/5 km from the distance covered on the first day:

Distance covered on the second day = Distance covered on the first day - 4/5 km

Now, let's calculate the total distance covered in the first two days:

Total distance covered = Distance covered on the first day + Distance covered on the second day

To perform the calculations, we'll convert the mixed numbers to improper fractions:

1. Distance covered on the first day = 11 7/10 km = (10 * 11 + 7) / 10 = 117/10 km 2. Distance covered on the second day = (117/10 km) - (4/5 km) = (117/10 km) - (8/10 km) = (117 - 8) / 10 = 109/10 km

Total distance covered = (117/10 km) + (109/10 km) = (117 + 109) / 10 = 226/10 km = 22 6/10 km

Therefore, the tourists covered a total distance of 22 6/10 km in the first two days.

Calculation of the Distance Covered on the Last Day

To find the distance the tourists had to cover on the last day, we subtract the total distance covered in the first two days from the total distance they were supposed to cover in three days.

1. Total distance covered in three days = 28 9/25 km = (25 * 28 + 9) / 25 = 709/25 km

To find the distance covered on the last day, we subtract the total distance covered in the first two days from the total distance covered in three days:

Distance covered on the last day = Total distance covered in three days - Total distance covered in the first two days

Distance covered on the last day = (709/25 km) - (226/10 km)

To perform the calculations, we'll convert the fractions to a common denominator:

Distance covered on the last day = (709/25 km) - (452/25 km) = (709 - 452) / 25 = 257/25 km

Therefore, the tourists had to cover a distance of 257/25 km on the last day of their hike in the Carpathian Mountains.

Please note that the calculations provided are based on the information given in the question.