50 men or 80 women can finish a job in 50 days. A contractor deploys 40 men and 48 women for this work, but after every duration of 10 days, 5 completed. The work is completed in
(a) 45 days (b) 50 days (c) 54 days (d) 62 days
(b) Total number of working day = 50 × 50 = 2500
days for men
For women it is equal to 4000 days For 1st 10 day
means 40 men × 10 = 400 day,
48 women × 10 = 480
days 2nd after 10 days means 35 men × 10 = 350 day,
40 women × 10 = 400 days
3rd 10 day 30 men × 10 = 300 days, 32 women × 10 = 320 days
4th 10 day 25 men × 10 = 250 days, 24 women × 10 = 240 days
5th 10 day 20 men × 10 = 200 days,
16 women × 10 = 160 days
Men = 1500 days, Women = 1600 days
1 man = 1.6 women
1600 days of women = 1000 day of men
So, 2500 days need to complete work mean after 50 day
i.e., Man of 1600 working days + woman of 1600 days
i.e., 50 days.