Multiple choice

M is 50% faster than N. If N can do a piece of work in 15 days, how long will both of them together take to do it?

  1. 5 days

  2. 6 days

  3. 10 days

  4. 15 days

  5. 20 days
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

N takes 15 days, so N's rate is 1/15. M is 50% faster, so M's rate is 1.5 * (1/15) = 1/10. Together, their rate is 1/15 + 1/10 = 5/30 = 1/6. They take 6 days.

AI explanation

Since N takes 15 days to complete the work, M who is 50 percent faster takes 15 divided by 1.5 which equals 10 days. Using the Time and Work formula for combined work, their combined time is the product of their individual times divided by their sum, giving 15 times 10 divided by 25. This equals 150 divided by 25 which is 6 days.

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