Question

Students deliver newspapers and magazines to houses.

one day,they have to deliver 875 newspapers and 1200 magazines.
each student can deliver 35 newspapers or 50 magazines in 1 hour.
each student can only work for 8 hours
work out the minimum number of students needed

Answer 1

To deliver 875 newspapers and 1200 magazines with each student being able to deliver 35 newspapers or 50 magazines in one hour and can only work for 8 hours a day, at least 7 students are required to complete the task.

Step-by-step explanation:

To determine the minimum number of students needed to deliver newspapers and magazines, we need to calculate the total hours required for each type of delivery and then find out how many students can complete the work given the constraints of the number of hours each student can work.

The total number of newspapers to be delivered is 875, and each student can deliver 35 newspapers per hour. Therefore, total hours needed for newspapers:

Hours for Newspapers = Total Newspapers / Newspapers per Hour per Student

= 875 / 35

= 25 hours

Similarly, for magazines:

Hours for Magazines = Total Magazines / Magazines per Hour per Student

= 1200 / 50

= 24 hours

Each student can work for a total of 8 hours a day and can either deliver newspapers or magazines, but not both simultaneously. So, we can calculate the total student hours needed for each and then add them together:

Total Student Hours = (Hours for Newspapers) + (Hours for Magazines)

Now, to find the minimum number of students required, we divide the Total Student Hours by the number of hours each student can work:

Students Needed = Total Student Hours / Hours per Student per Day

= (25 + 24) / 8

= 49 / 8

= 6.125

Since we cannot have a fraction of a student, we round up to the next whole number, which means at least 7 students are needed to complete the deliveries in one day.

Answer 2

4 students for newspapers & 3 students for magazines are needed for the deliveries to be made in a day.

Step-by-step explanation:

According to the question,

• 875 newspapers & 1200 magazines are to be delivered in a day by students.
• In an hour each student can deliver 35 newspapers or 50 magazines & each student can only work for 8 hours

So, In 8 hours each student can deliver:

35 × 8 = 280 newspapers

50 × 8 = 400 magazines

To find out minimum number of students needed to work we need to divide work done by each student in 8 hours by total deliveries to be made.

`\therefore`

For Newspapers:

875/280 = 3.125

So, by rounding of the figure we will need 4 students to deliver newspapers as each student can work only for 8 hours.

For magazines:

1200/400 = 3

3 students are needed to deliver magazines.