Question

Первая бригада может выполнить работу за 5 дней, а вторая в 1 целую 1/4 раза быстрее. За сколько часов могут выполнить работу обе бригады, работая вместе?

Answer 1

Ответ:

2 2/9

Пошаговое объяснение:

1) 5: 1 1/4= 5: 5/4=4 работает вторая бригада

2) (1/5+1/4)*х=1

(4/20+5/20)*х=1

9/20*х=1

Х=20/9

Х= 2 2/9 дня общее время

Answer 2

Problem Analysis

We are given that the first brigade can complete a job in 5 days, and the second brigade is 1 and 1/4 times faster. We need to determine how many hours it would take for both brigades to complete the job together.

Solution

Let's start by calculating the time it takes for the second brigade to complete the job. Since the first brigade takes 5 days, the second brigade is 1 and 1/4 times faster, which means it can complete the job in 5 days divided by 1 and 1/4.

To calculate the time in hours, we need to convert the days to hours. Since there are 24 hours in a day, we multiply the number of days by 24.

Finally, we can add the time it takes for both brigades to complete the job together.

Let's calculate the solution step by step:

1. Calculate the time it takes for the second brigade to complete the job: - Time for the second brigade = 5 days / (1 + 1/4) = 5 days / (5/4) = 5 days * (4/5) = 4 days

2. Convert the time to hours: - Time for the second brigade in hours = 4 days * 24 hours/day = 96 hours

3. Calculate the time it takes for both brigades to complete the job together: - Total time = Time for the first brigade + Time for the second brigade = 5 days + 96 hours

4. Convert the total time to hours: - Total time in hours = (5 days * 24 hours/day) + 96 hours

5. Simplify the expression: - Total time in hours = 120 hours + 96 hours = 216 hours

Answer

Both brigades can complete the job together in 216 hours.

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