Question

4 men and 6 boys are finich the plese of 5 day while 3 men and 4 boy finsh in 7 days find finish take time 1 men alone and 1 boy alone

Answer 1

4M + 6B = 5D ----------- [ 1 ]

3M + 4B = 7D----------- [ 2 ]

Since both the work is the same:

(4 x 5)M + (6 x 5)B = (3 x 7)M + (4 x 7)B

20M + 30B = 21M + 28B

2B = 1M

Find the number of days needed if the work is to be done by 1 boy:

4M + 6B = 5D

Sub 1M = 2B:

8B + 6B = 5D

14B = 5D

1B = 70D

Find the number of days needed if the work is to be done by 1 man:

4M + 6B = 5D

4M + 3M = 5D

7M = 5D

1M = 35D

Answer: 1 boy alone will need 70 days and 1 man alone will need 35 days.

Answer 2

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