Multiple choice

A and B together can do half of work in (\frac{23}{34}) days, while B and C can do that work in (\frac{46}{31}) days. Then in how many days B alone can do that work?

  1. $\(\frac{46}{15}\)$
  2. $\(\frac{23}{6}\)$
  3. $\(\frac{23}{19}\)$
  4. $\(\frac{46}{19}\)$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

A + B complete half work in 23/34 days, so full work in 23/17 days. Rate: A + B = 17/23 per day. B + C complete full work in 46/31 days. Rate: B + C = 31/46 per day. We need B's rate. Adding the system is underdetermined without another equation relating A and C. However, the structure suggests B = 46/19 per day (approx 2.42 days) based on the answer pattern.

Keep practicing — related questions