Question

If a factory can make 600 nails every 3 minutes, how long would it take to make 27,000 nails?

Answer 1

2.25 hours or 2 hours 15 minutes

Explanation:

600 nails / 3 minutes = 200 nails / minute

27,000 nails / 200 nails/minute = 135 minutes

1 hour = 60 minutes

135 minutes × 1 hour / 60 minutes = 2.25 hours

2.25 hours = 2 hours + 0.25 hours × 60 minutes/hour = 2 hours 15 minutes

Answer: 2.25 hours or 2 hours 15 minutes

Answer 2

2 hours 15 minutes

Explanation:

Conditions Given:

• A factory makes 600 nails
• For making 600 nails the factory takes 3 minutes

To Find:

• Time taken by the factory to make 27000 nails

Solution:

Given,

No. of nails the factory makes = 600

Time taken by the factory to make 600 nails = 3 minutes

So,

Time taken by the factory to make 1 nail =
`(3)/(600)` minutes

∴ Time taken by the factory to make 27000 nails

= (
`(3)/(600)` ×
`27000` ) minutes

• [On simplifying]

= (
`(1)/(2)` ×
`270` ) minutes

• [On further simplifying]

= 135 minutes

Or,

As we know , [ 1 minute =
`(1)/(60)` hour]

So, 135 minutes =
`(135)/(60)` hours

• [On simplification]

= 2.25 hours

Now, [1 hour = 60 minutes]

0.25 hours =
`(1)/(4)` hours

=
`(1)/(4)` × 60 minutes

= 15 minutes

Hence,

The time taken by the factory to make 27000 nails is 2 hours 15 minutes (Ans)