Hands

The clock shows 12 hours. After how many minutes will angle between the hour and minute hand 90°?

Consider the continuous movement of both hands hours.

Correct result:

x =  16.36 min

Solution:


360/60•x - 360/(12•60)•x = 90

330x = 5400

x = 180/11 ≈ 16.363636

Our simple equation calculator calculates it.



We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you!






Showing 0 comments:
avatar




Tips to related online calculators
Need help calculate sum, simplify or multiply fractions? Try our fraction calculator.
Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation?
Do you want to convert length units?
Do you want to convert velocity (speed) units?
Do you want to convert time units like minutes to seconds?

 
We encourage you to watch this tutorial video on this math problem: video1

Next similar math problems:

  • Clock hands
    watch_3 The hands on the clock shows the time 12 hours and 2 minutes. Calculate the size of a sharp angle between clock hands three hours later.
  • Clocks
    clocks How long path will walk the end of the clock's minute-hand long 7 cm for 330 minutes? How long will walk in the same time hour-hand?
  • Minute-hand
    hands How long distance will travel a large (minute) hand on the clock for 48 minutes, if its length is 56 cm?
  • Speed of clock
    clocks2 In how many minutes will the hour hand pass a straight angle and a right angle?
  • Clocks
    clock+ What distance will describe the tip of minute hand 6 cm long for 20 minutes when we know the starting position with finally enclose hands each other 120°?
  • Clock Tower
    clock_3 What angle is betwenn hands on Clock Tower when show 17 hours and 35 minutes?
  • Special watch
    clocks2_20 Fero bought a special watch on the market. They have only one (minute) hand and a display that shows which angle between the hour and minute hand. How many hours it was when his watch showed - the minute hand points to number 2; the display shows 125°?
  • Clock
    timer What distance will pass end of 8 cm long hour hand for 15 minutes?
  • Little hand
    clock2_1 What angle shifted little hand on the clock after one hour and 38 minutes?
  • Minute hand v2
    clock_2 In how many minutes describe the minute hand angle 60 degrees?
  • Grandmother's clocks
    kukuckove-hodiny Grandmother's clock is late every hour by half a minute. Grandmother it by set exactly at 8.00 am. How many hours will show after 24 hours.?
  • Clock
    hodiny How many times a day hands on a clock overlap?
  • Motion problem
    dragway From Levíc to Košíc go car at speed 81 km/h. From Košíc to Levíc go another car at speed 69 km/h. How many minutes before the meeting will be cars 27 km away?
  • Motion
    cyclist_1 If you go at speed 3.7 km/h, you come to the station 42 minutes after leaving the train. If you go by bike to the station at speed 27 km/h, you come to the station 56 minutes before its departure. How far is the train station?
  • Lunch
    clocks Lunch is given to seniors from 12:15 to 12:40 during the Coronavirus pandemic. What angle will the minute hand of clock describe during this time?
  • Motion2
    car_cycle Cyclist started out of town at 19 km/h. After 0.7 hours car started behind him in the same direction and caught up with him for 23 minutes. How fast and how long went car from the city to caught cyclist?
  • Forestry workers
    forestry_workers In the forest is employed 56 laborers planting trees in nurseries. For 8 hour work day would end job in 37 days. After 16 days, 9 laborers go forth? How many days are needed to complete planting trees in nurseries by others, if they will work 10 hours a d