Question

2 Dylan is part of a volunteer crew constructing houses for low-income families. Dylan is experienced at installing tile floors. He is training a new volunteer, George, to complete tiling projects. A new job involves placing 100 tiles. Dylan knows from experience that it would take him 2 hours to complete the job if he were working alone. Dylan estimates that it would take George 4 hours to complete the job if George were working alone. If Dylan and George work together, how long will it take to complete the job?​

Answer 1

For the tiling Job; it takes the following for installing 100 tiles:

Dylan =2 hours

George = 4 hours

if they work together for the job, for 1 hour,

it would be the following no of tiles to be fixed:

Dylan + George = total tiles

100/2 + 100/4 = 50 + 25 = 75 tiles

If it takes George 1hr to fix 50 tiles,

For 30 minutes, Dylan will fix 25 tiles

Therefore Total tiles fixed = Dylan(1hr work) + George(1hr work) + Dylan (30mins work)

= 50 tiles + 25 tiles + 25 tiles = 100 tiles

Therefore, it will take approximately 1 hour for them to install 75 tiles in the low-income house for the families or

1.30 hours (1 hr, 30 minutes) to fix 100 tiles for the same low income families.

Explanation: