# Hands

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

Consider the continuous movement of both hands hours.

Result

x =  15.25 min

#### Solution:

360/60*x - 360/3600*x = 90

21240x = 324000

x = 900/59 ≈ 15.254237

Calculated by our simple equation calculator.

Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

#### To solve this example are needed these knowledge from mathematics:

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? Try conversion angle units angle degrees, minutes, seconds, radians, grads. Need help calculate sum, simplify or multiply fractions? Try our fraction calculator.

## Next similar examples:

1. Diophantus
We know little about this Greek mathematician from Alexandria, except that he lived around 3rd century A.D. Thanks to an admirer of his, who described his life by means of an algebraic riddle, we know at least something about his life. Diophantus's youth l
2. Server
Calculate how many average minutes a year is the web server is unavailable, the availability is 99.99%.
3. When will I be a millionaire?
Shawn monthly send 220 euros to the bank, which he deposits bear interest of 2.4% p.a. Calculate how many months must Shawn save to save 1000000 euros? Inflation, interest rate changes or bank failures ignore.
4. Youth track
Youth track from Hronská Dúbrava to Banská Štiavnica which announced cancellation attracted considerable media attention and public opposition, has cost 6.3 euro per capita and revenue 13 cents per capita. Calculate size of subsidies to trip group of 10.
5. Camp
In the camp are children. 1/2 went on a trip, 1/4 went to bathe and 58 children remained in the room. How many children are in camp?
6. Diofant equation
In the set of integers (Z) solve the equation: ? Write result with integer parameter ? (parameter t = ...-2,-1,0,1,2,3... if equation has infinitely many solutions)
7. Class
When Pythagoras asked how many students attend the school, said: "Half of the students studying mathematics, 1/4 music, seventh silent and there are three girls at school." How many students had Pythagoras at school?
8. Mistake
Nicol mistake when calculate in school. Instead of add number 41 subtract it. What is the difference between the result and the right result?
9. Line
Straight line passing through points A [-3; 22] and B [33; -2]. Determine the total number of points of the line which both coordinates are positive integers.
10. Monkey
Monkey fell in 38 m deep well. Every day her scramble 3 meters, at night dropped back by 2 m. On that day it gets hangover from the well?
11. Rectangle
The perimeter of the rectangle is 22 cm and content area 30 cm2. Determine its dimensions, if the length of the sides of the rectangle in centimeters is expressed by integers.
12. Divisibility
Is the number 146025 divisible by 6?
13. Closest natural number
Find the closest natural number to 4.456 to 44.56 and to 445.6.
14. Gauss
Help little C.F. Gauss sum all the integers from 1 to 420.
15. Four pupils
Four pupils divided \$ 1805 so that the second received 40% less than the first, the third 1/2 less than a fourth and fourth \$ 78 less than the first. How much money had each of them?
16. Diofant 2
Is equation ? solvable on the set of integers Z?
17. Number
Is number 5.146852 irrational?