CAT 2019 Time and Work Question (Hard)

Question

Three men and eight machines can finish a job in half the time taken by three machines and eight men to finish the same job. If two machines can finish the job in 13 days, then how many men can finish the job in 13 days? TITA

Accepted Answer

Step 1 Let the work rate of one man be units day Let the work rate of one machine be units day We are told - 3 men 8 machines finish the job in half the time taken by 8 men 3 machines So, their rate is double Expand RHS Bring like terms together So, Step 2 We are told 2 machines finish the job in 13

CAT 2019

Quantitative

Time and Work

Hard

$Three men and eight machines can finish a job in half the time taken by three machines and eight men to finish the same job. If two machines can finish the job in 13 days, then how many men can finish the job in 13 days? [TITA]$

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