Ask Question
1 January, 08:41

It is 1:50PM. What is the sum of the degrees the minute and hour hands of a clock will rotate between now and when it hits 2:15PM?

+5
Answers (1)
  1. 1 January, 08:53
    0
    162.5°

    Step-by-step explanation:

    1. Calculate the number of minutes

    (a) Subtract the hours and the minutes separately

    2: 15

    -1: 50

    1: - 35

    (ii) If the minutes are negative, subtract 1 from the hours and add 60 to the minutes.

    1: - 35

    -1: + 60

    0: 25

    The clock has been running for 25 min.

    2. Calculate the travel of the minute hand (θm)

    The clock face is a circle of 360°, and there are 60 min in 1 h,

    so, the minute hand travels 6° in 1 min.

    In 25 min, the minute hand will travel

    θm = 25 * 6 = 150°

    3. Calculate the travel of the hour hand (θh)

    The hour hand travels 360° in 12 h, so it travels 30° in 1 h and 0.5° in 1 min.

    It has travelled for 25 min.

    θh = 25 * 0.5 = 12.5°

    4. Calculate the sum of the angles

    θm + θh = 150° + 12.5° = 162.5°
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “It is 1:50PM. What is the sum of the degrees the minute and hour hands of a clock will rotate between now and when it hits 2:15PM? ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers