Question

Q11
Eight bricklayers on a building site took 25 hours to build a wall.
The Site Manager needs a similar wall built.
He can hire five bricklayers to build this wall.
He needs to know how much longer it will take to build this wall.

Answer 1

It will take 15 hours more to build the wall using only 5 bricklayers.

This question deals with indirect proportion. To solve it, you need to first find the product of the number of bricklayers and the number of hours it took to build the wall.

= Number of bricklayers x Number of hours taken

= 8 x 25

= 200 bricklayer hours are required to build that wall if using 8 bricklayers.

Because you are using 5 bricklayers, the number of hours they will take is:

= Number of hours taken to build by 8 bricklayers/ Number of bricklayers available

= 200 / 5

= 40 hours

Difference is:

= 40 - 25

= 15 hours

In conclusion, it will take 5 bricklayers, 15 hours more to build the wall.

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