Multiple choice

25 men can complete a work in 8 days. 15 women can complete the same piece of work in 20 days and 9 children can complete it in 40 days. In how many days can one man, one woman and one child together complete the same piece of work? 25 पुरुष एक काम को 8 दिन में पूरा कर सकते हैं। उसी काम को 15 महिलायें 20 दिनों में और 9 बच्चे को 40 दिनों में पूरा कर सकते हैं।एक पुरुष, एक महिला और एक बच्चा में कितने दिनों में एक साथ उस काम को पूरा कर सकते हैं?

  1. 76 days 76 दिन

  2. 84 days 84 दिन

  3. 90 days 90 दिन

  4. 93 days 93 दिन

  5. 98 days 98 दिन
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

25 men complete work in 8 days, so 1 man's rate = 1/(25×8) = 1/200 work/day. 15 women complete in 20 days, so 1 woman's rate = 1/(15×20) = 1/300 work/day. 9 children complete in 40 days, so 1 child's rate = 1/(9×40) = 1/360 work/day. Combined rate of 1 man + 1 woman + 1 child = 1/200 + 1/300 + 1/360 = (9+6+5)/1800 = 20/1800 = 1/90. So together they complete the work in 90 days.

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