A takes 6 hours less than B to complete a work. If together they complete the work in 13 hours 20 minutes, find how much time will B alone take to complete the work.

Explanation

To solve the problem, we need to find out how much time B alone will take to complete the work, given that A takes 6 hours less than B and they together complete the work in 13 hours and 20 minutes.

### Step-by-Step Solution:

1. **Convert the time they take together into hours:**
\[ 13 \text{ hours } 20 \text{ minutes} = 13 + \frac{20}{60} = 13 + \frac{1}{3} = \frac{40}{3} \text{ hours} \]
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