20 people can dig a canal in 15 days. in how many days will 30 people dig the canal? how many people will be required to dig it in 6 days?
Answers
Hey there !
Solution:
This is a problem of Inverse Proportions
Case 1: How many days will 30 people dig the canal
=> 20 people = 15 days :: 30 people = x
Since More people are employed less days must be the workforce time. So it is an inverse proportion.
=> 20 people × 15 days = 30 people × x days
=> 300 = 30 x
=> x = 300 / 30
=> x = 10
Hence 30 people will take 10 days to dig the canal
Case 2: How many people are required to dig the tunnel in 6 days
=> 20 people = 15 days :: x people = 6 days
Again this is an inverse proportion.
=> 20 × 15 = x × 6
=> 300 = 6x
=> x = 300 / 6 = 50 people
Hence if 50 people are employed then the canal can be digged in 6 days.
Hope my answer helped !
Answer:
Case 1: How many days will 30 people dig the canal
=> 20 people = 15 days :: 30 people = x
Since More people are employed less days must be the workforce time. So it is an inverse proportion.
=> 20 people × 15 days = 30 people × x days
=> 300 = 30 x
=> x = 300 / 30
=> x = 10
Case 2: How many people are required to dig the tunnel in 6 days
=> 20 people = 15 days :: x people = 6 days
Again this is an inverse proportion.
=> 20 × 15 = x × 6
=> 300 = 6x
=> x = 300 / 6 = 50 peopleby-step explanation: