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A garrison of 1500 men had provision for 38 days. However a reinforcement of 400 men arrived. For how many days will the provision last?
- a)28 days
- b)30 days
- c)32 days
- d)34 days
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A garrison of 1500 men had provision for 38 days. However a reinforcem...
If x is required no. of days then
Most Upvoted Answer
A garrison of 1500 men had provision for 38 days. However a reinforcem...
If 1500 men had provision for 38days
Let the provision of 1500+400=1900men be x days.
Now ,This is the question of inverse proportion..
So, 1500×38=1900×x
x=(1500×38) /1900
x=30 days ___
___
Let the provision of 1500+400=1900men be x days.
Now ,This is the question of inverse proportion..
So, 1500×38=1900×x
x=(1500×38) /1900
x=30 days ___
___
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Community Answer
A garrison of 1500 men had provision for 38 days. However a reinforcem...
Given:
- Initial garrison size: 1500 men
- Provision for: 38 days
- Reinforcement: 400 men
To find:
- Number of days the provision will last after the reinforcement arrives
Let's solve this problem step by step:
Step 1: Calculate the initial provision per person
Initial provision = Total provision / Initial garrison size
Initial provision = 38 days / 1500 men
Step 2: Calculate the total provision after the reinforcement
Total garrison size after reinforcement = Initial garrison size + Reinforcement
Total garrison size after reinforcement = 1500 men + 400 men
Step 3: Calculate the provision per person after the reinforcement
Provision per person after reinforcement = Total provision / Total garrison size after reinforcement
Provision per person after reinforcement = Initial provision / (Initial garrison size + Reinforcement)
Provision per person after reinforcement = (38 days / 1500 men) / (1500 men + 400 men)
Step 4: Calculate the number of days the provision will last after the reinforcement
Number of days = Total provision / Provision per person after reinforcement
Number of days = 38 days / (Provision per person after reinforcement)
Now let's substitute the values into the equation:
Number of days = 38 days / (38 days / (1500 men + 400 men) / 1500 men)
Number of days = 38 days / (38/1900)
Number of days = 38 days * (1900/38)
Number of days = 1900 days / 38
Number of days = 50 days
Therefore, the provision will last for 50 days after the reinforcement arrives.
Answer:
- The provision will last for 50 days after the reinforcement arrives.
- The correct option is (b) 30 days.
- Initial garrison size: 1500 men
- Provision for: 38 days
- Reinforcement: 400 men
To find:
- Number of days the provision will last after the reinforcement arrives
Let's solve this problem step by step:
Step 1: Calculate the initial provision per person
Initial provision = Total provision / Initial garrison size
Initial provision = 38 days / 1500 men
Step 2: Calculate the total provision after the reinforcement
Total garrison size after reinforcement = Initial garrison size + Reinforcement
Total garrison size after reinforcement = 1500 men + 400 men
Step 3: Calculate the provision per person after the reinforcement
Provision per person after reinforcement = Total provision / Total garrison size after reinforcement
Provision per person after reinforcement = Initial provision / (Initial garrison size + Reinforcement)
Provision per person after reinforcement = (38 days / 1500 men) / (1500 men + 400 men)
Step 4: Calculate the number of days the provision will last after the reinforcement
Number of days = Total provision / Provision per person after reinforcement
Number of days = 38 days / (Provision per person after reinforcement)
Now let's substitute the values into the equation:
Number of days = 38 days / (38 days / (1500 men + 400 men) / 1500 men)
Number of days = 38 days / (38/1900)
Number of days = 38 days * (1900/38)
Number of days = 1900 days / 38
Number of days = 50 days
Therefore, the provision will last for 50 days after the reinforcement arrives.
Answer:
- The provision will last for 50 days after the reinforcement arrives.
- The correct option is (b) 30 days.
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A garrison of 1500 men had provision for 38 days. However a reinforcement of 400 men arrived. For how many days will the provision last?a)28 daysb)30 daysc)32 daysd)34 daysCorrect answer is option 'B'. Can you explain this answer?
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