CAT 2023 Time and Work Question (Medium)

Question

Gautam and Suhani, working together, can finish a job in 20 days. If Gautam does only 60 of his usual work on a day, Suhani must do 150 of her usual work on that day to exactly make up for it. Then, the number of days required by the faster worker to complete the job working alone is?

Accepted Answer

Step 1 Gautam does 60 of his work Suhani does 150 of her work To compensate and finish a full day s work Rewriting So Gautam is 1.25 times as efficient as Suhani. Step 2 Let Suhani take days to complete the work. Then her rate Gautam s rate Combined rate Together they finish the work in 20 days Work

CAT 2023

Quantitative

Time and Work

Medium

$Gautam and Suhani, working together, can finish a job in 20 days. If Gautam does only 60% of his usual work on a day, Suhani must do 150% of her usual work on that day to exactly make up for it. Then, the number of days required by the faster worker to complete the job working alone is?$

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