Synopsis IAS

Answer

Solution

UPSC Prelims

Mathematics

Theme:

Time and Work / समय और कार्य

Q80 2021, Time and Work

A man completes 7/8 of a job in 21 days. How many more days will it take him to finish the job if quantum of work is further increased by 50%?

एक व्यक्ति किसी कार्य के 7/8 अंश को 21 दिन में पूरा करता है। यदि कार्य की मात्रा में 50% की और वृद्धि हो जाए, तो उसे उस कार्य को समाप्त करने में कितने दिन और लगेंगे ?

Explanation

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Initial units of work = 8 units.

Out of which, 7 units are completed in 21 days.

So, the number of days that man takes in completing one unit of work = 21/7 = 3 days.

Now, amount of new work = 8 + 50% of 8 = 8 + 4 = 12 units.

Work remaining = 12 – 7 = 5 units.

So, the time taken by the man to complete the rest of the work = 5 × 3 = 15 days.

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Q 80. 2021, Time and Work

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