a compositor takes 1 hour 45 min to compose 24 page of a book. how long will be take to compose 64 pages
1 h 45 min = 60 min + 45 min = 105 min
24 / 105 = 64 / x Muultiply both sides bx x
24 x / 105 = 64 Multiply both sides by 105
24 x = 64 * 105
24 x = 6720 Divide both sides by 24
x = 6720 / 24 = 280 min
x = 240 min + 40 min = 4 * 60 min + 40 min = 4 h 40 min
OR
64 / 24 = 8 * 8 / ( 8 * 3 ) = 8 / 3
( 8 / 3 ) * 105 = 8 * 105 / 3 = 840 / 3 = 280 min = 4 h 40 min
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Very lengthy answer in short you tell sir
To find out how long it will take the compositor to compose 64 pages, we can use a proportion.
Let's first find the compositor's rate of composition in pages per hour.
The compositor takes 1 hour 45 minutes to compose 24 pages. Convert 1 hour 45 minutes to decimal form:
1 hour = 60 minutes
45 minutes = 45/60 = 0.75 hours
So, the compositor completes 24 pages in 1.75 hours.
Next, find the compositor's rate per hour:
Rate = Pages / Time
Rate = 24 pages / 1.75 hours
Rate ≈ 13.71 pages/hour (rounding to two decimal places)
Now, we can use this rate to calculate how long it will take to compose 64 pages:
Time = Pages / Rate
Time = 64 pages / 13.71 pages/hour
Time ≈ 4.67 hours (rounding to two decimal places)
Therefore, it will take approximately 4.67 hours to compose 64 pages.