
Convert
(a) 16 hours 600 seconds into minutes
(b) 9 hours 360 seconds into minutes
(c) 2 days 180 minutes into hours
(d) 9 days 420 minutes into hours
Answer
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Hint: We convert each of the given values of time into required time using the conversions of hours into minutes, minutes into seconds and days into hours. Use a unitary method to find the value of the number of given hours, days and seconds into required time value.
* 1 day has 24 hours in it
* 1 hour has 60 minutes
* 1 minute has 60 seconds
Complete step-by-step solution:
We convert each part one by one
(a) 16 hours 600 seconds into minutes:
We first convert 16 hours into minutes
Since 1 hour minutes
Use unitary method to convert 16 hours into minutes
hours minutes
hours minutes………………..… (1)
Now we convert 600 seconds into minutes
Since seconds minute
Multiply both sides by 10
seconds minutes
seconds minutes……………...… (2)
Now we add the minutes from both equations (1) and (2)
Total time in minutes
Total time in minutes
16 hours and 600 seconds is equal to 970 minutes
(b) 9 hours 360 seconds into minutes:
We first convert 9 hours into minutes
Since 1 hour minutes
Use unitary method to convert 9 hours into minutes
hours minutes
hours minutes……………….… (3)
Now we convert 360 seconds into minutes
Since seconds minute
Multiply both sides by 6
seconds minutes
seconds minutes……………..… (4)
Now we add the minutes from both equations (3) and (4)
Total time in minutes
Total time in minutes
9 hours and 360 seconds is equal to 546 minutes
(c) 2 days 180 minutes into hours:
We first convert 2 days into hours
Since 1 day hours
Use unitary method to convert 2 days into hours
days hours
days hours……………...… (5)
Now we convert 180 minutes into hours
Since minutes hour
Multiply both sides by 3
minutes hours
minutes hours……………….… (6)
Now we add the hours from both equations (5) and (6)
Total time in hours
Total time in hours
2 days and 180 minutes is equal to 51 hours
(d) 9 days 420 minutes into hours:
We first convert 9 days into hours
Since 1 day hours
Use unitary method to convert 9 days into hours
days hours
days hours…………..… (7)
Now we convert 420 minutes into hours
Since minutes hour
Multiply both sides by 7
minutes hours
minutes hours……………...… (8)
Now we add the hours from both equations (7) and (8)
Total time in hours
Total time in hours
9 days and 420 minutes is equal to 223 hours
Note: Many students get confused while converting the given values into required values as they have to calculate the value of single unit first and then multiply by complete quantity that is required, keep in mind we can clearly see from the numbers given to us that they are multiples of 60, so we directly multiply with the factors on both sides.
* 1 day has 24 hours in it
* 1 hour has 60 minutes
* 1 minute has 60 seconds
Complete step-by-step solution:
We convert each part one by one
(a) 16 hours 600 seconds into minutes:
We first convert 16 hours into minutes
Since 1 hour
Use unitary method to convert 16 hours into minutes
Now we convert 600 seconds into minutes
Since
Multiply both sides by 10
Now we add the minutes from both equations (1) and (2)
Total time in minutes
Total time in minutes
(b) 9 hours 360 seconds into minutes:
We first convert 9 hours into minutes
Since 1 hour
Use unitary method to convert 9 hours into minutes
Now we convert 360 seconds into minutes
Since
Multiply both sides by 6
Now we add the minutes from both equations (3) and (4)
Total time in minutes
Total time in minutes
(c) 2 days 180 minutes into hours:
We first convert 2 days into hours
Since 1 day
Use unitary method to convert 2 days into hours
Now we convert 180 minutes into hours
Since
Multiply both sides by 3
Now we add the hours from both equations (5) and (6)
Total time in hours
Total time in hours
(d) 9 days 420 minutes into hours:
We first convert 9 days into hours
Since 1 day
Use unitary method to convert 9 days into hours
Now we convert 420 minutes into hours
Since
Multiply both sides by 7
Now we add the hours from both equations (7) and (8)
Total time in hours
Total time in hours
Note: Many students get confused while converting the given values into required values as they have to calculate the value of single unit first and then multiply by complete quantity that is required, keep in mind we can clearly see from the numbers given to us that they are multiples of 60, so we directly multiply with the factors on both sides.
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