Multiple choice

10 female and 15 male can complete a work in 6 days. If one man alone completes the work in 120 days, then in how many female will be able to finish the same work alone in 10 days? 10 महिलायें और 15 पुरुष 6 दिनों में एक कार्य पूरा कर सकते हैं। यदि एक लड़का अकेले 120 दिनों में कार्य को पूरा करता है, तो समान कार्य को कितनी महिलायें 10 दिन में पूरा करेंगी ?

  1. 14

  2. 18

  3. 10

  4. 24

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

One man does work in 120 days, so one man's rate = 1/120 per day. 15 men's rate = 15/120 = 1/8 per day. In 6 days, 15 men complete 6/8 = 3/4 of work. So 10 women complete 1/4 in 6 days. 10 women's rate = (1/4)/6 = 1/24 per day. One woman's rate = 1/240 per day. To finish in 10 days: n*(1/240)*10 = 1, so n=24.