Question

помогите решить задачу(по действиям)пожалуйста.Мотоциклист должен проехать 120км.3/10 пути он проехал по шоссе,5/12 остатка-по грунтовой дороге,4/7 нового остатка-по лесной тропе.Сколько км ему осталось проехать?

Answer 1

To solve this problem, we need to find the distance the motorcyclist has left to travel. Let's break down the information given:

- The motorcyclist needs to travel a total distance of 120 km. - The motorcyclist has already traveled 3/10 of the distance on the highway. - Then, the motorcyclist traveled 5/12 of the remaining distance on a dirt road. - Finally, the motorcyclist traveled 4/7 of the new remaining distance on a forest trail.

To find the distance the motorcyclist has left to travel, we need to subtract the distances traveled from the total distance.

Distance Traveled on the Highway:

The motorcyclist traveled 3/10 of the total distance on the highway. To find this distance, we can calculate:

Distance on the highway = (3/10) * 120 km

Distance Traveled on the Dirt Road:

The motorcyclist then traveled 5/12 of the remaining distance on the dirt road. To find this distance, we can calculate:

Remaining distance after the highway = Total distance - Distance on the highway

Distance on the dirt road = (5/12) * (Remaining distance after the highway)

Distance Traveled on the Forest Trail:

Finally, the motorcyclist traveled 4/7 of the new remaining distance on the forest trail. To find this distance, we can calculate:

Remaining distance after the dirt road = Remaining distance after the highway - Distance on the dirt road

Distance on the forest trail = (4/7) * (Remaining distance after the dirt road)

Total Distance Left to Travel:

To find the total distance left to travel, we need to subtract the distances traveled from the total distance:

Total distance left to travel = Total distance - (Distance on the highway + Distance on the dirt road + Distance on the forest trail)

Let's calculate the distances step by step:

1. Distance on the highway: - Distance on the highway = (3/10) * 120 km - Distance on the highway = 36 km

2. Distance on the dirt road: - Remaining distance after the highway = 120 km - 36 km - Remaining distance after the highway = 84 km - Distance on the dirt road = (5/12) * 84 km - Distance on the dirt road = 35 km

3. Distance on the forest trail: - Remaining distance after the dirt road = 84 km - 35 km - Remaining distance after the dirt road = 49 km - Distance on the forest trail = (4/7) * 49 km - Distance on the forest trail = 28 km

4. Total distance left to travel: - Total distance left to travel = 120 km - (36 km + 35 km + 28 km) - Total distance left to travel = 21 km

Therefore, the motorcyclist has 21 km left to travel.

Please let me know if you need any further assistance!