Question

А) Теплоход прошёл 144км за 8час, а катер за 9часов. На сколько скорость теплохода больше скорости катера? б) Катер был в пути в первый день 9 часов , во второй день на 6 часов меньше , а в третий день в два раза больше времени , чем в первый. Сколько км он прошёл если скорость его движения не изменялась на протяжении всего пути и равнялась 16 км/ ч ? в) Теплоход за три дня прошёл 900 км , причём во второй день и третий в два раза больше , чем в первый. Сколько км проходил в теплоход в каждый из этих дней? г) Кок должен был приготовить к обеду 520 пельменей . Он уже сделал 180 пельменей . какова должна быть его производительность , чтобы он успел сделать оставшиеся пельмени за 2 часа ? СРОЧНООО!!! ПОМОГИТЕ ПЖ!!!!!!!)))

Answer 1

Answer:

а) To find the difference in speed between the steamboat and the motorboat, we need to calculate the speed of each vessel first.

The steamboat traveled 144 km in 8 hours, so its speed can be calculated as:

Speed of steamboat = Distance / Time = 144 km / 8 hours = 18 km/h [[1]]

The motorboat, on the other hand, traveled 144 km in 9 hours, so its speed can be calculated as:

Speed of motorboat = Distance / Time = 144 km / 9 hours = 16 km/h [[2]]

To find the difference in speed between the two, we subtract the speed of the motorboat from the speed of the steamboat:

Difference in speed = Speed of steamboat - Speed of motorboat = 18 km/h - 16 km/h = 2 km/h

Therefore, the speed of the steamboat is 2 km/h faster than the speed of the motorboat.

б) Let's calculate the distance the motorboat traveled based on the given information.

On the first day, the motorboat was in motion for 9 hours. Since its speed remained constant at 16 km/h throughout the journey, we can calculate the distance traveled on the first day as:

Distance on the first day = Speed × Time = 16 km/h × 9 hours = 144 km

On the second day, the motorboat was in motion for 6 hours less than the first day. Therefore, the time on the second day was 9 - 6 = 3 hours. The distance traveled on the second day can be calculated as:

Distance on the second day = Speed × Time = 16 km/h × 3 hours = 48 km

On the third day, the time was twice as long as the first day, which means it was 9 × 2 = 18 hours. The distance traveled on the third day can be calculated as:

Distance on the third day = Speed × Time = 16 km/h × 18 hours = 288 km

To find the total distance traveled, we add up the distances traveled on each day:

Total distance traveled = Distance on the first day + Distance on the second day + Distance on the third day = 144 km + 48 km + 288 km = 480 km

Therefore, the motorboat traveled a total distance of 480 km.

в) Let's calculate the distance traveled by the steamboat on each of the three days based on the given information.

We know that the total distance traveled by the steamboat in three days is 900 km.

Let's assume the distance traveled on the first day is x km. According to the given information, the distance traveled on the second day is twice that of the first day, and the distance traveled on the third day is also twice that of the first day.

Therefore, we can set up the following equation:

x + 2x + 2x = 900

Simplifying the equation:

5x = 900

Dividing both sides by 5:

x = 900 / 5 = 180 km

So, the distance traveled on the first day is 180 km.

The distance traveled on the second day is twice that of the first day, which is 2 * 180 km = 360 km.

The distance traveled on the third day is also twice that of the first day, which is 2 * 180 km = 360 km.

Therefore, the steamboat traveled 180 km on the first day, 360 km on the second day, and 360 km on the third day.

г) To calculate the required productivity of the cook, we need to determine how many dumplings he needs to make in 2 hours.

The cook has already made 180 dumplings, and he needs to make a total of 520 dumplings.

Therefore, the number of dumplings he needs to make in 2 hours is:

Number of dumplings needed = Total number of dumplings - Number of dumplings already made = 520 - 180 = 340 dumplings

Since the cook has 2 hours to make the remaining 340 dumplings, we can calculate his required productivity as:

Productivity = Number of dumplings / Time = 340 dumplings / 2 hours = 170 dumplings per hour

Therefore, the cook needs to have a productivity of 170 dumplings per hour in order to make the remaining dumplings in 2 hours.

I hope this helps! Let me know if you have any further questions.