To find out how long it will take Cara to knit the 60-inch scarf, we can start by determining her knitting speed based on the previous project.
Cara took 14 hours to knit a 30-inch scarf. Therefore, her knitting speed can be calculated as follows:
\[ \text{Knitting Speed} = \frac{\text{Time}}{\text{Length}} = \frac{14 \text{ hours}}{30 \text{ inches}} = \frac{14}{30} = \frac{7}{15} \text{ hours per inch} \]
Now, to find out how long it will take her to knit the 60-inch scarf, we multiply her knitting speed by the length of the new scarf:
\[ \text{Time for 60-inch scarf} = \text{Knitting Speed} \times \text{Length} = \frac{7}{15} \text{ hours per inch} \times 60 \text{ inches} = \frac{7 \times 60}{15} = \frac{420}{15} = 28 \text{ hours} \]
Since Cara plans to knit 1 hour every day, the number of days it will take her to complete the scarf will be:
\[ \text{Number of Days} = 28 \text{ hours} \div 1 \text{ hour/day} = 28 \text{ days} \]
Now, to convert days into weeks, we divide by 7 (since there are 7 days in a week):
\[ \text{Number of Weeks} = \frac{28 \text{ days}}{7 \text{ days/week}} = 4 \text{ weeks} \]
Therefore, it will take Cara 4 weeks to finish the rainbow-striped scarf.