Telangana Police SI 2018 · Question 1 of 96

A and B can do a piece of work independently in 12 days and 16 days respectively. They worked together for 4 days and B left the work. How many more days did A work to finish the work?

Time and Work

A3 days
B4 days
C5 daysCorrect
D6 days

Answer: C. 5 days

Explanation

A does 1/12 of the work per day and B does 1/16 per day. Together they do 1/12 + 1/16 = 7/48 per day. In 4 days they complete 4 x 7/48 = 7/12 of the work. Remaining work = 1 - 7/12 = 5/12. A alone needs (5/12) / (1/12) = 5 days.

Source: TSLPRB SCT SI Civil PWT 2018 official paper (Arithmetic & Test of Reasoning); answer verified by worked solution

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