A and B can complete the work in 20 days. B is 20% less efficient then A. If C is 20% more efficient than B. Find the time taken by C to complete the work alone.
Answer
Correct Answer : a ) 37.5 days
Explanation :According to the question
B is 20% less efficient than A
Let the efficiency of A be 100 units
⇒ B is 20% less efficient than A
⇒ efficiency of B = 100 – 20% of 100
⇒ 80 units
C is 20% more efficient than B
⇒ Efficiency of C = 80 + 20% of 80
⇒ 80 + 16
⇒ 96 units
We know that
Work = efficiency * (Number of days)
A and B can complete the work in 20 days
⇒ Work = (Efficiency of A and B) * 20
⇒ (100 + 80) * 20
⇒ 20 * 180 = 1600 units
Days taken by C to complete the work alone
⇒ 37.5 days
Hence, (a) is the correct answer.
Learn about how to solve time and work questions and pipe and cistern formulas and tricks.
Attempt Time and Work Quiz for SSC CGL Tier 2.
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