A Clock is set right at 10am.the clock gains 10 minutes in 24hours.what will be true time when the clock indicates 3pm the following day.

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To solve this problem, we need to find out how much time the clock gains per hour and then calculate the time difference between 10 am and 3 pm the following day.

First, let's calculate how much time the clock gains per hour. We know that the clock gains 10 minutes in 24 hours. Therefore, in 1 hour, the clock will gain 10/24 minutes.

Now, let's find the time difference between 10 am and 3 pm the following day. From 10 am to 3 pm the next day, there are 24 + 5 = 29 hours.

Finally, we can calculate the additional time that the clock gains during this period. Since the clock gains 10/24 minutes per hour, in 29 hours, it will gain (10/24) * 29 minutes.

To find the true time, we need to add this additional time to the indicated time on the clock at 3 pm the next day.

Let's calculate the true time:
Additional time gained = (10/24) * 29 minutes
Indicated time on the clock = 3 pm

True time = Indicated time + Additional time gained
True time = 3 pm + (10/24) * 29 minutes

Now, we can calculate the true time using this equation.