171k views
18 votes
a team of five people can deliver leaflets to every house in a particular area in four hours . how long will it take a team of three people ?​

User Rys
by
4.3k points

2 Answers

11 votes

Final answer:

A team of three people, with a work rate of 3/20th of the job per hour, will take approximately 6.67 hours to deliver the leaflets.

Step-by-step explanation:

To find out how long it will take a team of three people to deliver the leaflets, we can use a concept called the work rate. The work rate is the amount of work done per unit of time. In this case, if a team of five people can deliver the leaflets in four hours, we can say that the work rate of this team is 1/4th of the job per hour. Now, let's find the work rate for a team of three people. Since the work rate is inversely proportional to the number of people, we can use the formula:




  1. Work rate of the first team * Number of people in the first team = Work rate of the second team * Number of people in the second team



Substituting the values, we get: (1/4) * 5 = Work rate of the second team * 3



Simplifying, we find the work rate of the second team is 3/20th of the job per hour. Now, we can determine the time it will take for the second team to complete the job by finding the reciprocal of the work rate:




  1. Time taken = 1 / Work rate

  2. Time taken = 1 / (3/20)

  3. Time taken = 20/3 hours, or approximately 6.67 hours

User Sunil Gupta
by
4.6k points
9 votes

Answer:

2.4

Step-by-step explanation:

For one person, it would take 4/5 of an hour (4 divided by 5). Three people would take 12/5 or 2.4 hours because that's just 3*(4/5). Hope this helps!

User Londeren
by
5.5k points