Question

Please Help me 5 People can build a wall in one hour how long will it take 8 people Give the answer in Minutes

Answer 1

if 5 people =1 hour. which is 60 minutes.

so 8people.52 minutes ...it wont take hours .since an hour is 60 min.

Answer 2

`\boxed{37.5 \: \: \: minutes}`

Explanation:

Let's solve:

`\mathsf {people \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: time( \: in \: minutes) }`

`\mathsf{5 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 1 hour = 60 minutes}`

`\mathsf{8 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x}`

Here, Let 8 people take x minutes to complete the work.

Since, the number of people and their working minutes are indirect proportional. So,

Here, the ratio of people = 5 : 8

The ratio of minutes = 60 : x

So,

`\mathsf{ (5)/(8) = (x)/(60) }`

Apply cross product property

⇒
`\mathsf{8x = 60 * 5}`

Multiply the numbers

⇒
`\mathsf{8x = 300}`

Divide both sides of the equation by 8

⇒
`\mathsf {(8x)/(8) = (300)/(8) }`

Calculate

⇒
`\mathsf{x = 37.5 \: minutes}`

Hope I helped!

Best regards!