a Canal can be dug by 12 men in 45 days working 8 hours a day. in how many days can 15 men dig the canal woryk for 9 hours a day
Answers
Answer:
In 32 days 15 men can dig a canal for 9 hours a day.
Step-by-step explanation:
Number of men can dig a canal in 45 days working 8 hours/day(x1) = 12
Time taken to dig a canal by 12 men (y1) = Days * No. of hours / day
= 45 * 8
= 360 hours
Let the number of days taken by 15 men to complete be 'd' days
Time taken to dig a canal :(y2) = Days * No. of hours / day
= d * 9
= 9d hours
Number of men can dig a canal in 9d hours(x2) = 15
We know that
If more number of men work than less time is needed.
So Number of men is inversely proportional to time.
Inverse proportion
x1 : x2 : : y2 : y1
⇒ 12 : 15 : : 9d : 360
We know that
Product of means = Product of extremes
⇒ 15 * 9d = 12 * 360
⇒ 9d = (12 * 360)/15
⇒ 9d = 12 * 24
⇒ d = (12 * 24)/9
⇒ d = (4 * 24)/3
⇒ d = 4 * 8
⇒ d = 32 days
Therefore in 32 days 15 men can dig a canal for 9 hours a day.
Answer:
A canal can be dug by 12 men in 45 days working 8 hours a day .
Formula :
=Number of days / number of hours
= 45 × 8
= 360 .
Suppose the number of days taken by 15 men to complete = x
= Number of days / number of hours
= x × 9
= 9x.
= 15 × 9x = 12 × 360
= 9x = (12 × 360 )/15
= 9x = 12 × 24
x = ( 12 × 24) /9
x = ( 4 × 24 )/3
x = 4 × 8
x = 32 days .