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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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