X, Y, and Z can complete a piece of work individually in 6 hours, 8 hours, and 8 hours respectively. However, only one person at a time can work in each hour, and nobody can work for two consecutive hours. All are engaged to finish the work. What is the minimum amount of time that they will take to finish the work?
Select an option to reveal the answer and explanation.
A medium CSAT / General Aptitude multiple-choice question from UPSC Prelims 2024. Attempt it above, then check the correct answer and detailed explanation below.
Show correct answer & explanation
Correct answer: B. 6 hours 30 minutes
Work is distributed among X, Y, and Z by alternating each hour. Work rates combined ensure completion in 6 hours 30 minutes.
Practise writing a full CSAT / General Aptitude answer and get it graded by our AI examiner — free.
More CSAT / General Aptitude questions
In some code, letters P, Q, R, S, T represent numbers 4, 5, 10, 12, 15. It is not known which letter represents which number. If Q − S = 2S and T = R + S + 3, then what is the value of P + R − T?
What will come in place of * in the sequence 3, 14, 39, 84, *, 258?
If in a certain code, 'POT' is written as ATOP and 'TRAP' is written as APART, then how is 'ARENA' written in that code?
If in a certain code, 'ABCD' is written as 24 and 'EFGH' is written as 1680, then how is 'IJKL' written in that code?
If P means 'greater than (>)'; Q means 'less than (<)'; R means 'not greater than (≤)'; S means 'not less than (≥)' and T means 'equal to (=)', then consider the following statements: 1. If 2x S 3y and 3x T 4z, then 9y P 8z. 2. If x Q 2y and y R z, then x R z. Which of the statements given above is/are correct?
If a + b means a − b; a − b means a × b; a × b means a ÷ b; a ÷ b means a + b, then what is the value of 10 + 30 − 100 × 50 ÷ 25? (Operations are to be replaced simultaneously.)