Tap A can fill 8 pails of the exact capacity in 5 minutes. Tap B can fill 7 of the same pails in 4 minutes.
Tap A and B are turned on together to fill a total of 16 pails.
How long will it take the two taps to fill the 16 pails together? Give your answer in minutes and seconds to
the nearest second.​

4min 47 seconds

Step-by-step explanation:

Together

8pails/5min + 7pails/4min = x

Use common denominator of 20

32/20 + 35/20 = 67pails/20min = 3.35pails/min

16/3.35 = 4.776119403 minutes

4min  60*0.776119403sec

4min 47 seconds

9514 1404 393

  a) $900

  b) 4 1/2 hours

Step-by-step explanation:

The price goes up by $200 for the additional hour between 2 and 3 hours of tutoring. If the relationship is linear, it will go up $200 again, from $700 to $900, as the time goes up from 3 hours to 4 hours.

  The cost for 4 hours is $900.

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The session costing $1000 is only $100 more than a 4-hour session. Since the rate is $200 per hour, that $100 will pay for 1/2 hour more than 4.

  A student can be tutored 4 1/2 hours for $1000.