4 men and 6 boys do a piece of work in 5 days while 3 mens and 4 boys can finifh it in 7 days find the time taken by one man alone or one boy alone
Answers
Step-by-step explanation:
Answer♡⋆
Escape velocity is the minimum velocity that a body must attain to escape the gravitational field of the earth. Suppose if we throw a ball,it will fall back.
Number of day taken by 1 men = x days
And of boy = y days
Work done by 1 men in 1 day = 1x
Work done 1 boy in 1 day = 1y
According to the first condition
4x+6y=15_ (1)
According to the second condition
3x+4y=17_(2)
Let 1x=v and 1y=u
On multiplying equation (1) by 3 and equation (2) by 4, we get
12v+18u=35_(3)12v+16u=47_(4)
Subtracting equation (3) from (4)
⇒12v−12v+18u−16u=35−47⇒2u=135⇒u=170∴y=70
Putting value of y in equation (1)
⇒4x+670=15⇒1x=14×(15−670)⇒x=35
Hence, one man alone can finish work in 35 days and one boy in 70 days.
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