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19 May 2025, 00:30
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
61% (02:22) correct
39%
(02:34)
wrong
based on 188
sessions
History
Date
Time
Result
Not Attempted Yet
Three carpenters, Adam, Bob, and Chris, are entrusted with office furniture work. Adam can complete the job in 42 days. If Bob is 26% more efficient than Adam and Chris is 50% more efficient than Bob, then Bob and Chris together can finish the job in approximately how many days?
A. 10
B. 13
C. 17
D. 19
E. 21
Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!
A. 10
B. 13
C. 17
D. 19
E. 21
Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!
19 May 2025, 01:26
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Adam’s work/day: \(w\). Total work: \(42w\). Bob: 26% more efficient, work/day \(1.26w\). Chris: 50% more than Bob, work/day \(1.26w \times 1.5 \).
Bob + Chris work/day: \(1.26w + 1.26\times 1.5w = 1.26\times 2.5w\). Days: \(\frac{42w}{ 1.26\times 2.5w} = \frac{42}{ 1.26\times 2.5} = \frac{84}{6.3} \approx 13\).
Answer: B
Bob + Chris work/day: \(1.26w + 1.26\times 1.5w = 1.26\times 2.5w\). Days: \(\frac{42w}{ 1.26\times 2.5w} = \frac{42}{ 1.26\times 2.5} = \frac{84}{6.3} \approx 13\).
Answer: B
04 Oct 2025, 06:48
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Let efficiency of Adam = 100 so efficiency of B=126 & C=189
Total work = 42*100 = 4200
Bob and Chris together can finish the job in = 4200/(126+189) = 4200/315 = 40/3 ~ 13
Total work = 42*100 = 4200
Bob and Chris together can finish the job in = 4200/(126+189) = 4200/315 = 40/3 ~ 13
