Question

It took Leo 3 hours to type a 4125-word essay. Sarah typed her 3800-word essay in 3 hours and 10 minutes. At these rates, how much longer would it take Sarah than Leo to type a 5500-word essay?

Answer 1

Sarah would take 35 minutes longer than Leo to type 5500 word essay

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 +
`(10)/(60)` = 3 +
`(1)/(6)` = 3
`(1)/(6)` hours

∴ Sarah's rate = 3800 ÷ 3
`(1)/(6)` = 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
`(7)/(12)` hours

→ Find the difference between their times

∵ The difference = 4
`(7)/(12)` - 4 =
`(7)/(12)` hour

→ Multiply it by 60 to change to minutes

∴ The difference =
`(7)/(12)` × 60 = 35 minutes

∴ Sarah would take 35 minutes longer than Leo to type 5500 word essay