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Answer to Q129

A fort has a provision for 900 men for 40 days. After 20 days, 300 men join them. For how many days more will the provision last for?

A fort has a provision for 900 men for 40 days
Let the total provision be Y
Y = 900 men * 40 days = 36,000 provisions

After 20 days,
Let consumed provision be Z
Z = 900 men * 20 days = 18,000 provisions

So, remaining provision = 36,000 - 18,000 = 18,000 provisions

300 men join them
Total number of men increased to 900 + 300 = 1,200

For how many days more will the provision last for?
In other words how many days will it take 1,200 men to finish 18,000 provisions

= 18,000 ÷ 1,200
= 15

Answer: 15 days

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682 viewsedited  Feb 16, 2021 at 13:11

Answer to Q129

A fort has a provision for 900 men for 40 days. After 20 days, 300 men join them. For how many days more will the provision last for?

A fort has a provision for 900 men for 40 days
Let the total provision be Y
Y = 900 men * 40 days = 36,000 provisions

After 20 days,
Let consumed provision be Z
Z = 900 men * 20 days = 18,000 provisions

So, remaining provision = 36,000 - 18,000 = 18,000 provisions

300 men join them
Total number of men increased to 900 + 300 = 1,200

For how many days more will the provision last for?
In other words how many days will it take 1,200 men to finish 18,000 provisions

= 18,000 ÷ 1,200
= 15

Answer: 15 days

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