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Aamir would take 9 hours to build a chimney alone, and Saif would take 10 hours to build it alone. When they work together they talk a lot, and their combined output is decreased by 10 bricks per hour. Working together, they build the chimney in 5 hours. How many bricks are in the chimney?
 
Options:
A .  500
B .  900
C .  950
D .  1000
E .  1900
Answer: Option B
:
B
Using the conventional approach :
Saif takes 10 hrs.
So total time they both would take without talking =10×919=9019 hrs.
But they take 5 hrs =9519 hrs.
So time wasted is 519 hrs.
They work for 5 hrs and put 10 bricks less per hour, so they had to put in extra time for 5×10=50 bricks.
Now, extra time taken=519 hrs.
so, in 519 hrs: 50 bricks
5 hrs: x
x=950 bricks.
But this includes the 50 bricks extra put in the time 519 hrs. So total number of bricks is 900.
Using percentage approach:
Aamir takes 9 hours, he does 11.11% of the work every hour
Saif takes 10 hours he does 10% of the work every hour
Together they finish 21.11% of the work
Given that they take 5 hours to finish the work after chatting, which means they are actually finishing 1005=20% of the work
The remaining 1.1% accounts for the 10 bricks decrease due to chatting
Thus, 100% corresponds to 900. Answer is option (b)

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