A Fort had provision for 1200 men for 20 days if 400 men joined the fort on the first day how long would the food last at the same rate
Answers
The food would last for 60 days for 400 men.
• Given,
Food for 1200 men lasts for 20 days, means 1200 men is proportional to 20 days. Then, 1200 : 20
• In the question, the number of days for which food would last at the same rate for 400 men, has been asked.
• Now, if the number of men decreases, the number of days for which the food lasts should increase.
• Let x be the number of days for which the food lasts for 400 men. Then 400 : x
• The quantity of food remains same in both the cases. Therefore,
1200 : 20 :: 400 : x
=> 1200/400 = x/20
=> x = (1200 × 20) / 400
=> x = 60
Therefore, the food would last for 60 days for 400 men.
Answer:
Step-by-step explanation:
Since 1200 men eat food in 20 days
And 400 people join in day first
Therefore Total no. Of people become
1200+400=2600.
Now, 1200 men eat food in 20 days.
1 man eat it = 1200×20 days.
So, 1600 men eat it =1200×20/1600
=24000/1600
=240/16
=15 days