Answer

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Hint: In this question, we will convert all the given time into seconds by multiplying the minute’s part by 60 and then adding them with the remaining seconds for that time. We will then take both the converted times and add them. The result obtained this way will be in seconds.

One minute is equal to 60 seconds. Therefore, 7 minutes is equal to \[7\times 60=420\sec .\]

And 5 minutes is equal to \[5\times 60=300\sec .\]

Therefore, 7 minutes 15 seconds = 420 + 15 = 435 seconds.

Therefore, 5 minutes 35 seconds = 300 + 35 = 335 seconds.

We will now add both these values as follows,

7 minutes 15 seconds + 5 minutes 35 seconds = 435 sec + 335 sec

Here, we simply substituted the above converted times and will now add them for easier calculation. So, we get the answer as 770 sec.

We have to now write 770 seconds as a multiple of 60 to convert it back to minutes and seconds form. We know that \[12\times 60=720,\] and we get 770 by adding 50 to 720.

\[\left( 12\times 60 \right)+50=770\]

To convert the minutes part back to seconds, we have to divide it by 60.

\[=\left( \dfrac{12\times 60}{60} \right)\min +50\sec \]

= 12 min + 50 sec

= 12 minutes 50 seconds

Note: Remember that in such types of questions, we have to convert all different units of time into any one convenient unit and then perform the required operations on them. To convert hours to minutes or minutes to seconds, we simply multiply by 60 and to convert seconds to minutes or minutes to hours, we divide by 60.

__Complete step-by-step solution -__One minute is equal to 60 seconds. Therefore, 7 minutes is equal to \[7\times 60=420\sec .\]

And 5 minutes is equal to \[5\times 60=300\sec .\]

Therefore, 7 minutes 15 seconds = 420 + 15 = 435 seconds.

Therefore, 5 minutes 35 seconds = 300 + 35 = 335 seconds.

We will now add both these values as follows,

7 minutes 15 seconds + 5 minutes 35 seconds = 435 sec + 335 sec

Here, we simply substituted the above converted times and will now add them for easier calculation. So, we get the answer as 770 sec.

We have to now write 770 seconds as a multiple of 60 to convert it back to minutes and seconds form. We know that \[12\times 60=720,\] and we get 770 by adding 50 to 720.

\[\left( 12\times 60 \right)+50=770\]

To convert the minutes part back to seconds, we have to divide it by 60.

\[=\left( \dfrac{12\times 60}{60} \right)\min +50\sec \]

= 12 min + 50 sec

= 12 minutes 50 seconds

Note: Remember that in such types of questions, we have to convert all different units of time into any one convenient unit and then perform the required operations on them. To convert hours to minutes or minutes to seconds, we simply multiply by 60 and to convert seconds to minutes or minutes to hours, we divide by 60.

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