Find the time between 2 and 3 when angle is 50 between hour and minute hands

Summary

In this educational video, Anil Kumar introduces a strategy to solve problems involving the angle between clock hands. He presents a formula to calculate this angle and applies it to find the time between 2:00 and 3:00 PM where the angle is 50 degrees. The explanation covers two possible scenarios and uses the formula theta = |30H - 11/2M| to find two solutions: 2 hours and 20 minutes or approximately 2 hours and 1/9 of a minute. The video is designed to help viewers understand how to approach such problems and encourages them to engage with the content.

Takeaways

• 🕒 The video discusses a method to find the angle between clock hands at a specific time.
• 🔍 The specific question is to find the time between 2:00 and 3:00 PM where the angle is 50 degrees.
• 📐 Each hour on the clock represents an angle of 30 degrees, and each minute represents 6 degrees.
• 🤔 The presenter explains that there could be two solutions, one where the hour hand is ahead of the minute hand and another where it's behind.
• 📘 The formula to calculate the angle between the clock hands is given by theta = |30H - 11/2M|.
• 🕗 For the given problem, H (hours) is between 2 and 3, and the angle theta is 50 degrees.
• 🧮 The presenter solves for M (minutes) using the formula and finds two possible times.
• 🕒 The two solutions are approximately 2 hours and 20 minutes or 2 hours and 1/9 of a minute.
• 🔗 A link is provided for the derivation of the formula used to calculate the angle.
• 👋 The presenter encourages viewers to comment, share, like, and subscribe for more content.

Q & A

What is the main topic of Anil Kumar's video series?

The main topic of Anil Kumar's video series is strategies to solve questions, with a specific focus on finding the angle between clock hands.

What is the general formula provided to find the angle between clock hands?

The general formula provided is theta equals 230 times H minus 11/2 times M, where H is the hour and M is the minutes.

What is the specific question Anil Kumar is trying to solve in the script?

The specific question is to find the time between 2:00 and 3:00 p.m. where the angle between the hour and minute hand is 50 degrees.

How does Anil Kumar explain the angles on a clock?

Anil Kumar explains that each position on the clock represents an angle of 30 degrees, starting from the 12 o'clock position.

What does Anil Kumar mean when he says there could be two solutions to the problem?

Anil Kumar means that there could be two times within the hour where the angle between the clock hands is 50 degrees, one where the minute hand is ahead of the hour hand and another where it is behind.

What is the significance of the number 30 degrees in the context of the clock?

The number 30 degrees signifies the angle between each hour mark on the clock face.

How does Anil Kumar use the formula to find the minutes (M) when the angle (theta) is 50 degrees?

Anil Kumar uses the formula by substituting theta with 50 degrees and H with 2 hours, then solving for M in two scenarios: when the minute hand is ahead and when it is behind the hour hand.

What are the two possible times that Anil Kumar finds where the angle between the clock hands is 50 degrees?

The two possible times are 2 hours and 20 minutes, and approximately 2 hours and 1/9 minutes.

What does Anil Kumar suggest at the end of the script for further understanding?

Anil Kumar suggests that viewers look at the derivation of the formula for a deeper understanding of how the formula is derived.

How does Anil Kumar encourage viewer interaction at the end of the script?

Anil Kumar encourages viewer interaction by inviting comments, asking viewers to share their views, and suggesting they like and subscribe to his videos.