Question

Грузоподъемность первого самосвал в четыре раза больше чем у второго. Второй грузит на 6 тонн меньше чем первый. Сколько тонн перевезут оба самосвала за два рейса. Без дробей надо решить.

Answer 1

4х первый самосвал

х второй самосвал

4х-х=24

3х=24

х= 8 тонн  грузоподъёмность 1 самосвала

8 * 4 = 32 тонны грузоподъёмность 2 самосвала

Answer 2

1)4-1=3 части разница в грузоподъёмности самосвалов

2)6:3=2 т грузоподъёмность второго

3)2*4=8 т грузоподъёмность первого

4)2+8=10 т общая грузоподъёмность

5)10*2=20 т перевезут вместе за 2 рейса

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Answer 3

Calculation of the Total Weight Transported by Both Trucks

To solve this problem, let's assign variables to the unknown quantities: - Let's call the weight capacity of the first truck "x" tons. - Since the weight capacity of the second truck is four times smaller, we can call it "x/4" tons.

According to the information given: - The second truck carries 6 tons less than the first truck, so the weight it carries is "x - 6" tons. - The total weight transported by both trucks in two trips is the sum of the weight carried by each truck in one trip.

Let's calculate the total weight transported by both trucks:

1. In the first trip: - The first truck carries "x" tons. - The second truck carries "x - 6" tons. - The total weight transported in the first trip is "x + (x - 6)" tons.

2. In the second trip: - The first truck carries "x" tons again. - The second truck carries "x - 6" tons again. - The total weight transported in the second trip is "x + (x - 6)" tons.

To find the total weight transported by both trucks in two trips, we need to add the weights from both trips:

Total weight transported by both trucks = (x + (x - 6)) + (x + (x - 6))

Simplifying the expression:

Total weight transported by both trucks = 2x + 2(x - 6)

Now, let's solve for x:

2x + 2(x - 6) = 2x + 2x - 12

4x - 12 = 0

4x = 12

x = 12/4

x = 3

Therefore, the weight capacity of the first truck is 3 tons.

Now, let's calculate the total weight transported by both trucks in two trips:

Total weight transported by both trucks = 2x + 2(x - 6) = 2(3) + 2(3 - 6) = 6 + 2(-3) = 6 - 6 = 0

Therefore, both trucks will transport a total weight of 0 tons in two trips.

Answer: Both trucks will transport a total weight of 0 tons in two trips.