Q. 134.2( 17 Votes )

4 men and 6 boys can finish a piece of work in 5 days while 3 men and 4 boys can finish it in 7 days. Find the time taken by 1 man alone or that by 1 boy alone.

Answer :

Let the time taken by the boy be x and the time taken by the men be y.

According to question



Equation 1 can be written as

Equation 2 can be written as

we have



Multiply 3 by 3 and 4 by 4 we get

Subtracting above equations we get

substituting v in above equation we get

we get x = 35 and y = 70
Time taken by boy = 35 days

Time taken by men = 70 days.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Goprep Genius Quiz on Direct and Inverse proportions32 mins
Foundation | Direct & Inverse Proportions57 mins
Quiz | Direct and Inverse Proportions47 mins
Do You Know Direct and Inverse Proportion??48 mins
Recalling Ratios and Proportions45 mins
Champ Quiz | Additive and Multiplicative inverse26 mins
Genius Quiz | How, When and Where38 mins
QUIZ | Exponents and PowerFREE Class
Quiz on Friction + Force30 mins
Champ Quiz | Force, Pressure & Sound29 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses