Motion2

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?

Result

v2 =  53.7 km/h
s =  20.6 km

Solution:  s = 19 t
s = v * 23/60
t = 0.7+23/60

s-19t = 0
60s-23v = 0
60t = 65

s = 24712 ≈ 20.583333
t = 1312 ≈ 1.083333
v = 123523 ≈ 53.695652

Calculated by our linear equations calculator.

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...): Be the first to comment! To solve this verbal math problem are needed these knowledge from mathematics:

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?

Next similar math problems:

1. Bob traveled Bob traveled 20 meters to Dave's house. He arrived in 3 minutes. What was his average speed for the trip.
2. Earth and Sun Earth is 150 million km away from the Sun, 300,000 km of sunlight travels in 1 second. How long will the light come from the Sun to the Earth?
3. Family Mom is 39 years old. Karl is eight years and Paul 4 years. For many years mother would old just like two children together?
4. Suzan Susan's age will be after 12 years four times as much as twelve years ago. How old is Susan now?
5. Factory In the factory workers work in three shifts. In the first inning operates half of all employees in the second inning and a third in the third inning 200 employees. How many employees work at the factory?
6. Grandmother and grandfather Grandmother baked cakes. Grandfather ate half, then quarter of the rest ate Peter and Paul ate half of rest. For parents left 6 cakes. How many cakes maked the grandmother?
7. Feet to miles A student runs 2640 feet. If the student runs an additional 7920 feet, how many total miles does the student run?
8. Walkers Walker, which makes 120 steps per minute, make distance from point A to point B for 55 minutes. The length of his step is 75cm. For how long does this distance go boy who will do 110 steps 60 cm long in a minute?
9. Bag of peanuts Joe eat 1/3 of a bag of peanuts, mark eat 1/4 of the remaining in the bag of peanuts, Alvin eat 1/2 of the remaining bag of peanuts, peter eat 10 peanuts, there are 71 peanuts left. Hon many peanuts were in the bags?
10. Negative in equation 2x + 3 + 7x = – 24, what is the value of x?
11. Playing How long have we trained on the pitch when we know that the warm-up took 10 minutes, we trained passes for one-third of the time and we played football half the time?
12. Fruits Amy bought a basket of fruits 1/5 of them were apples,1/4 were oranges, and the rest were 33 bananas. How many fruits did she buy in all?
13. Trees From the total number of trees in the orchard, there are two-fifths pearls and apples are three eighty. The rest of the trees are 9 ceremonial. How many trees are in the set?
14. Borrowed book Jane must as soon as possible return a borrowed book. She figured that when she read 15 pages a day return book in time. Then she read 18 pages a day and then return the book one day before. How many pages should have a book?
15. Equation Solve the equation: 1/2-2/8 = 1/10; Write the result as a decimal number.
16. Equation Solve equation and check the result: 1.4x - 3/2 + x - 9,8 = x + 0,4/3 - 7 + 1,6/6
17. Family 8 Father is 38 years old, daughter 12, son 14. How many years will father have as many years as his children together?