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Tiles - work problem

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by SaraLotfy » Wed Oct 02, 2013 8:50 am
Adam and Brianna plan to install a new tile floor in a classroom. Adam works at a constant rate of 50 tiles per hour, and Brianna works at a constant rate of 55 tiles per hour. If the new floor consists of exactly 1400 tiles, how long will it take Adam and Brianna working together to complete the tile floor?

A)26hrs 44mins
B)13hrs 18mins
C)26hrs 40mins
D)12hrs 45mins
E)13hrs 20mins
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by theCodeToGMAT » Wed Oct 02, 2013 8:56 am
1400 = 50(T) + 55(T)

1400 = 105(T)

T = 1400/105 = 13.33 => 13 hrs 20 min

Answer [spoiler]{E}[/spoiler]

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by mevicks » Wed Oct 02, 2013 9:01 am
A --> 50 Tiles in 60 Mins
B --> 55 Tiles in 60 Mins

Together both A & B in 60 mins --> 105 Tiles

60 --> 105
x --> 1400

Cross Multiply
x = (60 * 1400) / 105 = 800 Mins = 13(1/3) Hrs = 13 (1/3 * 60)

[spoiler]Answer E: 13 Hrs 20 Mins[/spoiler]

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by SaraLotfy » Wed Oct 02, 2013 9:26 am
Yup its E
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by ganeshrkamath » Wed Oct 02, 2013 11:50 pm
SaraLotfy wrote:Adam and Brianna plan to install a new tile floor in a classroom. Adam works at a constant rate of 50 tiles per hour, and Brianna works at a constant rate of 55 tiles per hour. If the new floor consists of exactly 1400 tiles, how long will it take Adam and Brianna working together to complete the tile floor?

A)26hrs 44mins
B)13hrs 18mins
C)26hrs 40mins
D)12hrs 45mins
E)13hrs 20mins
Working together, they can lay 105 tiles an hour.
Number of hours required to lay 1400 tiles = 1400/105
= 280/21
= 40/3
= 13 1/3
= 13 hours 20 minutes

Choose E

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hi

by Jeff@TargetTestPrep » Thu Dec 14, 2017 5:43 pm
SaraLotfy wrote:Adam and Brianna plan to install a new tile floor in a classroom. Adam works at a constant rate of 50 tiles per hour, and Brianna works at a constant rate of 55 tiles per hour. If the new floor consists of exactly 1400 tiles, how long will it take Adam and Brianna working together to complete the tile floor?

A)26hrs 44mins
B)13hrs 18mins
C)26hrs 40mins
D)12hrs 45mins
E)13hrs 20mins
Since Adam works at a constant rate of 50 tiles per hour and Brianna works at a constant rate of 55 tiles per hour, their combined rate is 105 tiles per hour.

If we let t = the time they work together, we have:

105t = 1400

t = 1400/105 = 280/21 = 13 7/21 = 13 1/3 hours = 13 hours 20 mins.

Answer: E

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