Multiple choice

A constructer decided to construct a road in 100 days. He employed 250 men in the beginning and 250 more after 85 days so he completed the construction in stipulated time. If he had not employed the additional men, how many days more from scheduled time would it have been finished? /एक ठेकेदार एक रोड को 100 दिन में बनाने का निर्णय लेता है। वह प्रारम्भ में 250 व्यक्तियों को कार्य पर लगाता है और 85 दिन के बाद 250 अन्य व्यक्तियों को कार्य पर लगाता है और कार्य को निश्चित समय पर समाप्त कर लेता है। यदि वह अतिरिक्त व्यक्तियों को न लगाता, निश्चित समय से कितने दिन अधिक लगते?

  1. 15

  2. 8

  3. 10

  4. 9

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Total work = 250 men × 100 days = 25000 man-days. Work done in first 85 days = 250 × 85 = 21250 man-days. Remaining work = 25000 - 21250 = 3750 man-days. With 500 men, this takes 3750/500 = 7.5 days. Without extra men, 250 men would take 3750/250 = 15 days. Extra time needed = 15 - 7.5 = 7.5 days beyond scheduled 100 days.