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X rounds per minute.

Each case contains 18,000 rounds.

the number of rounds used in 1 hour of practice=60X

Number of practice hours covered by one case:
60X rounds = 1 hr
1 round= 1/60X hr
18000 rounds =18000/60X
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In terms of the variable X, select the expression that represents the number of rounds used in 1 hour of practice, when the weapon is used to its maximum capacity, and select the expression that represents the number of shooting practice hours that a full case of ammunition can cover. Make only two selections, one in each column.

IMO
60X
18000/60X


Given:
- X rounds per minute
- 1 case has 18000 rounds


Q1 The number of rounds used in 1 hour of practice

=== Since in one minute we use X rounds, we use up 60X in 60 minutes (or 1 hour)
Hence 60X

Q2 The number of shooting practice hours that a full case of ammunition can cover

=== Solve using unitary method,

If 1 hour gives 60X rounds
X hours gives 18000 rounds

Hence we get X = (18000)/(60X)
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A target practice weapon can fire a maximum of X rounds per minute.
Number of rounds in 1 hour(60mins) = 60X

Each case contains 18,000 rounds.
'X rounds per minute' means 'X rounds per (1/60)hr'
1 round per (1/60X) hr
Number of practice hours covered by one case(18000 rounds) = 18000 / 60X
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Rate of fire of weapon = X rounds per minute
Rate of fire of weapon = 60X rounds per hour
Number of rounds in 1 hour = 60X

Number of rounds in 1 case= 18,000

Number of practice hours covered by one case = Number of rounds in 1 case/ Number of rounds in 1 hour =\(\frac{18,000}{60X}\)
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A target practice weapon can fire a maximum of X rounds per minute. Ammunition is distributed by the case. Each case contains 18,000 rounds.

In terms of the variable X, select the expression that represents the number of rounds used in 1 hour of practice, when the weapon is used to its maximum capacity, and select the expression that represents the number of shooting practice hours that a full case of ammunition can cover. Make only two selections, one in each column.


QUESTION 1

No of Rounds in 1 Hour


Rounds used in 1 minute = X (Given)
So,
Rounds used in 1 hour = 60X (1 hour = 60 minutes)

60X is the CORRECT answer



QUESTION 2

No of Rounds in 1 Hour


Practice minutes used by 18000 Rds (ie, 1 case) = 18000/X ...................(Given that X rounds are used in 1 minute)
So,
Practice hours used by 18000 Rds (ie, 1 case) = 18000/60X ................(since 1 hour = 60 minutes)

18000/60X is the CORRECT answer
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Data (as per the Question)

Speed of weapon = X Rds / min
Capacity of Case = 18000 Rds



(A) Number of rounds in 1 hour

Speed of weapon = X Rds / min (as above)

Rounds utilized (in 1 hour = 60 mins) = 60X


(B) Number of practice hours covered by one case

Speed of weapon = X Rds / min (as above)
X Rd are utilized in 1 min

1 case (18000 Rds) will be utilized in = 18000 / X minutes
= 18000 / 60X hours


Number of practice hours covered by one case = 18000 / 60X
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The official answer to this question is posted, it is:

Number of rounds in 1 hour: \(60X\)

Number of practice hours covered by one case: \(\frac{18,000}{60X}\)

The competition mode is off now.

Official explanation will be posted soon.

Best of luck with Day 6 questions.
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Official Explanation

The correct answers are 60X rounds used in 1 hour and \(\frac{18,000}{60x}\) practice hours covered by a full case.

The weapon fires a maximum of X rounds per minute. There are 60 minutes in an hour. So the weapon fires 60X rounds per hour.

There are 18,000 rounds in a case. Each hour of shooting practice uses 60X rounds of ammunition. To find the number of hours covered by one full case, divide the total rounds per case (18,000) by the number of rounds used per hour (60X).

Number of rounds in 1 hour: \(60X\)
Number of practice hours covered by one case: \(\frac{18,000}{60X}\)
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