Question

Решите задачу Один трактор перевозит 192 бревна за 16 рейсов,другой-162 бревна за 18 рейсов. За сколько рейсов, работая вместе, оба трактора могут перевести 294 бревна?

Answer 1

192:16+162:18 ответ поделить на 294

Answer 2

Problem Analysis

To solve this problem, we can use the concept of the least common multiple (LCM) to find out how many trips both tractors need to make together to transport the given number of logs.

Solution

Let's calculate the number of logs each tractor can transport in one trip: - The first tractor can transport 192 logs in 16 trips, so it can transport 192 / 16 = 12 logs in one trip. - The second tractor can transport 162 logs in 18 trips, so it can transport 162 / 18 = 9 logs in one trip.

Now, we need to find the least common multiple of 16 and 18 to determine how many trips both tractors need to make together to transport the logs.

The least common multiple of 16 and 18 is 144.

So, working together, both tractors can transport 144 logs in one trip.

To find out how many trips are needed to transport 294 logs, we can divide 294 by 144 and round up to the nearest whole number.

294 / 144 ≈ 2.04

Rounding up, we find that both tractors working together can transport 294 logs in 3 trips.

Therefore, working together, both tractors can transport 294 logs in 3 trips.