Multiple choice

A can do a certain work in 60 days. B is 25% more efficient than A, while C is 20% more efficient than B. B alone completed 37.5% of work. A and C together completed the remaining work. The entire work got completed in:

  1. 35 days

  2. 33 days

  3. 34 days

  4. 40 days

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A's rate = 1/60 work/day. B is 25% more efficient, so B's rate = 1.25 × 1/60 = 1/48 work/day. C is 20% more efficient than B, so C's rate = 1.2 × 1/48 = 1/40 work/day. B does 37.5% = 3/8 of work at rate 1/48, taking (3/8)/(1/48) = 18 days. Remaining work = 5/8 at rate (1/60 + 1/40) = 1/24, taking (5/8)/(1/24) = 15 days. Total = 18 + 15 = 33 days.