Question

решите задачу 2 способами: В первый день туристы прошли 32% всего пути, во второй - 40% всего пути, после чего им осталось пройти его 14км. Сколько км туристы прошли за 3 дня?

Answer 1

Ответ:

1) 32•3/8=12(км)—прошли в первый день

2/3 ИЗ 12 КМ

2) 12•2/3=8(км)-прошли во второй день.

3) 8+12=20(км)—прошли туристы в

первый и во второй дни.

4) 32-20=12(км)—прошли в третий день.

Answer 2

Problem:

We need to find the total distance traveled by tourists in 3 days, given that on the first day they covered 32% of the total distance, on the second day they covered 40% of the total distance, and they have 14 km left to travel.

Solution 1:

To solve this problem, we can calculate the total distance traveled by the tourists on each day and then sum them up.

1. On the first day, the tourists covered 32% of the total distance. 2. On the second day, the tourists covered 40% of the total distance. 3. The remaining distance after the second day is 14 km.

Let's calculate the total distance traveled on each day:

1. Distance traveled on the first day = 32% of the total distance 2. Distance traveled on the second day = 40% of the total distance 3. Remaining distance after the second day = 14 km

To find the total distance, we can set up the following equation:

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

Let's solve the equation:

Distance on the first day = 32% of the total distance = 0.32 * Total distance

Distance on the second day = 40% of the total distance = 0.40 * Total distance

Remaining distance = 14 km

0.32 * Total distance + 0.40 * Total distance + 14 km = Total distance

0.72 * Total distance + 14 km = Total distance

0.28 * Total distance = 14 km

Total distance = 14 km / 0.28

Total distance = 50 km

Therefore, the total distance traveled by the tourists in 3 days is 50 km.

Solution 2:

Another way to solve this problem is by finding the distance traveled on the first day and the distance traveled on the second day, and then adding them together.

1. On the first day, the tourists covered 32% of the total distance. 2. On the second day, the tourists covered 40% of the total distance. 3. The remaining distance after the second day is 14 km.

Let's calculate the distance traveled on each day:

1. Distance traveled on the first day = 32% of the total distance 2. Distance traveled on the second day = 40% of the total distance

To find the total distance traveled in 3 days, we can add the distances traveled on the first and second days:

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

Total distance traveled = 32% of the total distance + 40% of the total distance

Total distance traveled = (32% + 40%) of the total distance

Total distance traveled = 72% of the total distance

To find the total distance, we can set up the following equation:

Total distance traveled = 72% of the total distance = 0.72 * Total distance

Let's solve the equation:

0.72 * Total distance = 50 km

Total distance = 50 km / 0.72

Total distance = 69.44 km (rounded to two decimal places)

Therefore, the total distance traveled by the tourists in 3 days is approximately 69.44 km.

Note: The two solutions provided above yield slightly different results due to rounding in the second solution.