Multiple choice

If 12 men and 15 boys can do a piece of work in 10 days. Then in how many days can 15 men and 25 boys do thrice of this work, it being given that 3 men can do as much, work in 2 hours as 5 boys can do in 3 hours? यदि 12 पुरूष और 15 लड़के एक कार्य को 10 दिन में करते हैं। 15 पुरूष और 25 लड़के तीन गुना कार्य कितने दिनों में कर लेगें यदि यह दिया गया है कि 3 आदमी जितना कार्य 2 घंटे में करते हैं उतना ही कार्य 5लड़के तीन घंटे में कर लेंगे है ?

  1. 20 days/दिन

  2. 25 days/दिन

  3. 21.6 days/दिन

  4. 26 days/दिन
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

First find the relationship between men and boys: 3 men in 2 hours = 5 boys in 3 hours, so 6 man-hours = 15 boy-hours, meaning 1 man = 2.5 boys. Now 12 men + 15 boys = 12(2.5) + 15 = 45 boy-equivalents. In 10 days, they complete 45 × 10 = 450 boy-days of work. For thrice the work, we need 3 × 450 = 1350 boy-days. The new team has 15 men + 25 boys = 15(2.5) + 25 = 62.5 boy-equivalents. Days needed = 1350 ÷ 62.5 = 21.6 days.

Keep practicing — related questions