Answer:
Sarah would take 35 minutes longer than Leo to type 5500 word essay
Step-by-step explanation:
Let us solve the question
∵ It took Leo 3 hours to type a 4125-word essay
→ The rate is the number of words divided by the time
∴ Leo's rate = 4125 ÷ 3 = 1375 words/hour
∵ Sarah typed her 3800-word essay in 3 hours and 10 minutes
→ Change the 10 min to the hour by divide it by 60
∵ 3 hours 10 min = 3 + [tex]\frac{10}{60}[/tex] = 3 + [tex]\frac{1}{6}[/tex] = 3[tex]\frac{1}{6}[/tex] hours
∴ Sarah's rate = 3800 ÷ 3[tex]\frac{1}{6}[/tex] = 1200 words/hour
∵ Leo will type a 5500-word essay
→ Divide it by his rate to find the time taken
∴ Leo takes = 5500 ÷ 1375 = 4 hours
∵ Sarah will type a 5500-word essay
→ Divide it by her rate to find the time taken
∴ Sarah takes = 5500 ÷ 1200 = 4[tex]\frac{7}{12}[/tex] hours
→ Find the difference between their times
∵ The difference = 4[tex]\frac{7}{12}[/tex] - 4 = [tex]\frac{7}{12}[/tex] hour
→ Multiply it by 60 to change to minutes
∴ The difference = [tex]\frac{7}{12}[/tex] × 60 = 35 minutes
∴ Sarah would take 35 minutes longer than Leo to type 5500 word essay
