Q. 184.3( 3 Votes )

A garrison of 120 men has provision for 30 days. At the end of 5 days, 5 more men joined them. How many days can they sustain on the remaining provision?

Answer :

We know that no. of days is inversely proportional to the provision for men.


For 120 men the provision would last for 30days.

The provision for 1 men would sustain for. 120 x 30 = 3600 days.

Let after the joining of 5 men (after 5 days) the no of more days the provision would last is x days

Now according to the question

120 × 30 = 120 × 5 + 125 × x

3600 – 600 = 125x

3000 = 125x

So, the provision would remain for more 24 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 | Powers and Exponennts43 mins
Foundation | Componendo and Dividendo.43 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