Question

Автотуристы за три дня проехали 360 км. В первый день они проехали 2/5, а во второй день - 3/8 всего пути. Сколько километров проехали автотуристы в третий день? Решить в 2 способа!

Answer 1

1) 360:5*2=72*2=144(км) проехали в 1 день                                                         2) 360:8*3=45*3=135(км) проехали во 2 день                                                      3) 144+135=279(км) проехали за два дня                                                           4) 360-279=81(км) проехал в третий день                                                             Ответ: Автотуристы проехали 81(км)за третий день                                       

Answer 2

Problem Analysis

We are given that a group of car tourists traveled a total of 360 km in three days. On the first day, they traveled 2/5 of the total distance, and on the second day, they traveled 3/8 of the total distance. We need to find out how many kilometers the car tourists traveled on the third day.

Solution 1: Using Proportions

Let's solve this problem using proportions. We know that the first day's distance is 2/5 of the total distance, and the second day's distance is 3/8 of the total distance. Therefore, the third day's distance can be calculated as the remaining distance after subtracting the sum of the distances traveled on the first and second days from the total distance.

Let's calculate the distances step by step:

1. Calculate the distance traveled on the first day: - Distance on the first day = (2/5) * Total distance

2. Calculate the distance traveled on the second day: - Distance on the second day = (3/8) * Total distance

3. Calculate the distance traveled on the third day: - Distance on the third day = Total distance - (Distance on the first day + Distance on the second day)

Let's substitute the given values and calculate the distances:

1. Distance on the first day = (2/5) * 360 km = 144 km2. Distance on the second day = (3/8) * 360 km = 135 km3. Distance on the third day = 360 km - (144 km + 135 km) = 81 km

Therefore, the car tourists traveled 81 km on the third day.

Solution 2: Using Fractions

Alternatively, we can solve this problem using fractions. We know that the first day's distance is 2/5 of the total distance, and the second day's distance is 3/8 of the total distance. Therefore, the third day's distance can be calculated as the remaining distance after subtracting the sum of the distances traveled on the first and second days from the total distance.

Let's calculate the distances step by step:

1. Calculate the distance traveled on the first day: - Distance on the first day = (2/5) * Total distance

2. Calculate the distance traveled on the second day: - Distance on the second day = (3/8) * Total distance

3. Calculate the distance traveled on the third day: - Distance on the third day = Total distance - (Distance on the first day + Distance on the second day)

Let's substitute the given values and calculate the distances:

1. Distance on the first day = (2/5) * 360 km = 144 km2. Distance on the second day = (3/8) * 360 km = 135 km3. Distance on the third day = 360 km - (144 km + 135 km) = 81 km

Therefore, the car tourists traveled 81 km on the third day.

Both solutions yield the same result: the car tourists traveled 81 km on the third day.

Conclusion

The car tourists traveled 81 km on the third day.