# 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?

Correct result:

v2 =  53.7 km/h
s =  20.6 km

#### Solution:

s = 19 t
s = v • 23/60
t = 0.7+23/60

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.

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The text passage describes a math problem involving a cyclist and a car, and it provides a solution to the problem. The solution includes a system of equations and the calculated results for the speed of the car (v2) and the distance (s) it traveled to catch up with the cyclist.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# 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?

Correct result:

v2 =  53.7 km/h
s =  20.6 km

#### Solution:

s = 19 t
s = v • 23/60
t = 0.7+23/60

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.

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Please write to us with your comment on the math problem or ask something. Thank you for helping each other - students, teachers, parents, and problem authors.

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?

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The tourist walked a quarter of the way on the first day, a third of the rest on the second day, and 20 km on the last day. How many km did he walked in three days?
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TYPE: SINGLE_QUESTION_WITH_ANSWER