If 4 men and 6 women do a job in 8 days, while 3 men and 7 women do it in 10 days, then 10 women working alone will do it in

Let the total work be 40 units. From the first condition, 4 men and 6 women complete 5 units per day, and from the second condition, 3 men and 7 women complete 4 units per day. Multiplying the first equation by 3 and the second by 4 gives 12 men and 18 women equal to 15 units, and 12 men and 28 women equal to 16 units. Subtracting the two shows that 10 women equal 1 unit per day. Dividing the total work of 40 units by the 1 unit per day completed by 10 women gives 40 days.

• Thanks
• Wrong explanation