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.
Share QOTD
Popular Blog
Highlights of Interim Budget 2024
Read More
150+ Paryayvachi Shabd in Hindi - पर्यायवाची शब्द
Read More
Highlights of G20 Summit 2023
Read More
SSC CHSL Tier 1 Exam Analysis 2023 - Questions Asked from 2 to 22 August 2023
Read MoreLatest Current Affairs
Daily Current Affairs and GK | 24 April 2024
Read More
Daily Current Affairs and GK | 23 April 2024
Read More
Daily Current Affairs and GK | 21 and 22 April 2024
Read More
Daily Current Affairs and GK | 20 April 2024
Read More
Daily Current Affairs and GK | 19 April 2024
Read MoreLatest Banking Awareness
Banking Awareness of 21, 22 and 23 April 2024
Read More
Banking Awareness of 19 and 20 April 2024
Read More
Banking Awareness of 16, 17 and 18 April 2024
Read More
Banking Awareness of 13, 14 and 15 April 2024
Read More
Banking Awareness of 10, 11 and 12 April 2024
Read More
Comments