Q2 2 A man works twice as fast as a woman A woman works twice as fast - Maths - Application of Derivatives

Question

Q2
2 A man works twice as fast as a woman A woman works twice as fast
as a child If 16 men can complete a job in 12 days, how many days
would be required for 32 women and 64 boys together to complete the
same job?
(a) 2 days (b) 3 days
(c) 4 days (d) 6 days

Aarushi Mishra · Accepted Answer

In 12 days 16 men do a job
So work done by 16 men together in a single day=1612Work done by a man in a single day=116×1612=112A man work twice as fast as a woman
 In other words, a woman work half as fast as a manWork done by women in a single day=12×112=124A woman work twice as fast as a child
 In other words, child work half as fast as a manWork done by a child in a single day=12×124=148Net work done by 32 women and 64 boys together in a single day=32×124+64×148=64+6448=83Time taken by them to work together=38 days

Q2 2. A man works twice as fast as a woman. A woman works twice as fast as a child. If 16 men can complete a job in 12 days, how many days would be required for 32 women and 64 boys together to complete the same job? (a) 2 days (b) 3 days (c) 4 days (d) 6 days

Q2
2. A man works twice as fast as a woman. A woman works twice as fast as a child. If 16 men can complete a job in 12 days, how many days would be required for 32 women and 64 boys together to complete the same job?
(a) 2 days (b) 3 days
(c) 4 days (d) 6 days