# In a certain commercial bank customers may withdraw cash through either of the tellers at the counter. On average the teller takes 3 minutes while another teller takes 5 minutes to serve the customer at the same time. Find the shortest time it takes to serve 200 customers.

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In a certain commercial bank customers may withdraw cash through either of the tellers at the counter. On average the teller takes 3 minutes while another teller takes 5 minutes to serve the customer at the same time. Find the shortest time it takes to serve 200 customers.

## 7 Answers

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16 hours
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2 minutes
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6hrs  15min

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3000
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Let the number of customers served by first teller be x and number of customer served by 2 nd teller 200-x
If for first teller
1customer= 3 min
x=?
3x min
If  for 2 nd teller
1 customer= 5 min
(200-x)=?
5(200-x)= 1000-5x
So
3x= 1000-5x
8x= 1000
x= 125 customers
Time taken
125×3= 375 minutes = 6hours 15 minutes

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300
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Can you please give me the answer