The higher the accounts receivable turnover the less time is needed to collect accounts?

Yes. The accounts receivable turnover is the number of times in a period the accounts receivable is turned over. To calculate how many days, divide by the number of days in the period. For example: A/R turnover = 20
Days in period = 365
The time it takes to collect = 365/20 = 18.25 days If the A/R turnover = 10
The time it takes to collect = 365/10 = 36.5 days