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Answer:
11 minutes will it take him to type 385 words.
525 words can he type in 15 minutes
Step-by-step explanation:
Unit rate can be expressed as a quantity of 1, such as 3 feet per second or 6 miles per hour.
As per the statement: Diego can type 140 words in 4 minute.
If
140 words = 4 minutes
then;
1 words = [tex]\frac{4}{140}=\frac{1}{35}[/tex] minutes
Unit rate per words = [tex]\frac{1}{35}[/tex] minutes
To find how long will it take him to type 385 words.
[tex]Number of minutes= unit rate per words \times 385[/tex]
=[tex]\frac{1}{35} \times 385 = 11[/tex]
therefore, 11 minutes will it take him to type 385 words
Now, to find how many words can he type in 15 minutes.
Calculate unit rate per minutes:
unit rate per minute = [tex]\frac{140}{4} = 35[/tex] words.
Number of words = [tex] unit rate per minutes \times 15[/tex]
=[tex]35 \times 15 = 525[/tex] words
Therefore, 525 words can he type in 15 minutes
We are required to find how long will it take him to type 385 words.
The time taken to type 385 words is 11 minutes and number of words he can type in 15 minutes is 525 words
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Number of words : time taken
let
time taken to type 385 words = x
Number of words : time taken
140 : 4 = 385 : x
140/4 = 385/x
cross multiply
140 × x = 4 × 385
140x = 1,540
x = 1,540 / 140
x = 11 minutes
How many words can he type in 15 minutes?
let
y = number of words he can type in 15 minutes?
Number of words : time taken
140 : 4 = y : 15
140/4 = y/15
cross product
140 × 15 = 4 × y
2100 = 4y
divide both sides by 4
y = 2100/4
y = 525
Therefore, the time taken to type 385 words is 11 minutes and number of words he can type in 15 minutes is 525 words
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