Question

Q8. One person can put 200 letters into envelopes in 1 hour.
How long would it take for 200 letters to be put into envelopes
by:
(a) 4 people,
(b) 6 people,
(c) 10 people?

Answer 1

Answer:

4 persons

Step-by-step explanation:

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Answer 2

Answer: The correct answer is:

(a) 15 minutes

(b) 10 minutes

(c) 6 minutes

Step-by-step explanation:

If one person can put 200 letters into envelopes in 1 hour, then we can use the unit rate of 200 letters per hour to calculate how long it would take for a certain number of people to complete the task.

(a) If 4 people are working together, then the combined rate at which they can put letters into envelopes is 4 times the rate of one person, or 4 x 200 letters per hour = 800 letters per hour. To find how long it would take for them to put 200 letters into envelopes, we can set up the proportion:

1 hour / 800 letters = x hours / 200 letters

800x = 200

x = 0.25 hours or 15 minutes

So, 4 people working together can put 200 letters into envelopes in 15 minutes.

(b) If 6 people are working together, then the combined rate at which they can put letters into envelopes is 6 times the rate of one person, or 6 x 200 letters per hour = 1200 letters per hour. To find how long it would take for them to put 200 letters into envelopes, we can set up the proportion:

1 hour / 1200 letters = x hours / 200 letters

1200x = 200

x = 0.1667 hours or 10 minutes

So, 6 people working together can put 200 letters into envelopes in 10 minutes.

(c) If 10 people are working together, then the combined rate at which they can put letters into envelopes is 10 times the rate of one person, or 10 x 200 letters per hour = 2000 letters per hour. To find how long it would take for them to put 200 letters into envelopes, we can set up the proportion:

1 hour / 2000 letters = x hours / 200 letters

2000x = 200

x = 0.1 hours or 6 minutes

So, 10 people working together can put 200 letters into envelopes in 6 minutes.

To learn more about Proportions, visit:

https://brainly.in/question/54168904

To learn more about Algebraic geometry, visit:

brainly.in/question/54104482

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