Question

A machine types 8469 words per minute and it starts at 4.53 am another machine takes 16640 words per minute starts at 4.58 am, what is the time by which the words typed the machine are equal?

Answer 1

Answer:

4.63 am

Step-by-step explanation:

Define x:

Let the number of numbers be x

Find the number of minutes that Machine A started over Machine B:

Number of minutes from 4.53 am to 4.58 = 5 mins

Machine A:

1 min = 8469 words

5 min = 8469 x 5 = 42,345

Machine B:

1 min = 16640

Find the number of minutes when the number of words are equal:

42,345 + 8469x = 16640x

16640x - 8469x  = 42,345

8171x = 42,345

x = 42,345  ÷ 8171 ≈ 5 mins

Find the time that the words typed are the same:

4.58 am + 5 mins = 4.63 am

Answer:  4.63 am

Answer 2

Given:

Machine 1,

8469 words per minute

Start time 4.53 am

Machine 2,

16640 words per minute

4.58 am

To find:

The time by which the words typed the machine are equal

Solution:

The time difference = 4.53 - 4.58

Time difference = 5 mins

For machine 1,

8469 words in one minute.

Hence,

42345 words in 5 minutes

For machine 2,

16640 words in one minute

To find the time when the number of words are equal,

42345 + 8469 time = 16640 time

16640 time - 8469 time = 42345

Time = 42,345  ÷ 8171

Time ≈ 5 mins

4.58 am + 5 mins = 5.03 am

Time = 5.03 am