1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
katrin2010 [14]
3 years ago
10

Victor left his house riding his bike at a speed of 18 km/hr. When Victor was 1/2 km from his house, his brother Alex left the h

ouse riding his bike towards Victor at a rate of 24 km/hr. How long will it take Alex to catch up with Victor?
Mathematics
1 answer:
Bond [772]3 years ago
5 0
Answer: 5 minutes or 1/12 hour

Explanation:

Let t = time it takes for Alex to catch up with Victor. 
      s = time it took for Victor to ride 1/2 km

Note that Alex will only start catching up with Victor when he already traveled the same distance with Victor. In terms of equation:

distance traveled by Alex = distance traveled by Victor
(speed of Alex)(time of Alex) = (speed of victor)(time of victor)  (1)

Note: The amounts of time indicated in equation (1) refer to the amounts of time they spent on riding a bike when Alex catches up with Victor.

Since the speeds of Alex and Victor are given in the problem, we need to figure out the amount of time stated in equation (1).

Since Alex started to ride his bike only when Victor already traveled 1/2 km using his bike and Victor has already elapsed time s in riding 1/2 km, Alex only started to bike at time s. So Victor has elapsed a time of (t + s) riding a bike when he is caught up by Alex.  

Using equation (1),

(speed of Alex)(time of Alex) = (speed of victor)(time of victor)

24t = 18(t + s)     (2)

To solve for s, recall that we'll use the following formula

distance = (speed)(time)
\frac 1 2 = 18s
\newline 18s = \frac 1 2
\newline
\newline s = \frac{\frac 1 2}{18}
\newline \boxed{s = \frac{1}{36}}

Substituting this value of s to equation (1), we have 

24t = 18(t + 1/36)
24t = 18t + 18(1/36)
24t = 18t + 1/2
6t = 1/2
(6t ÷ 6) = (1/2) ÷ 6
t = 1/12 hour (Since the unit for speed in the problem is km/hr)

We can convert 1/12 hour to minutes by multiplying 1/12 by 60 since 1 hour = 60 minutes. So, t = 5 minutes. Hence, it will take 5 minutes for Alex to catch up with Victor.



 
You might be interested in
How many minutes is 7:43 to 8:41
frez [133]
It is 58 minutes. :]
3 0
3 years ago
Read 2 more answers
Find the probability of rolling factors of 4.​
mylen [45]

The probability of rolling factors of 4 are 4/1 or 2/1

8 0
2 years ago
Lea and Marie are washing all the windows in their house. It would take Lea 80 minutes to wash the windows by herself, and it wo
kvv77 [185]
The rate of the windows washed would be the amount of windows per minute. so the missing value is the amount of windows that she has washed
5 0
3 years ago
Read 2 more answers
Plz solve I’ve been stuck on how to start it and I just can’t
AleksAgata [21]

Answer:

x and y = 0

the question looks weird and almost wrong because when you subtract the equations, you are left with nothing

Step-by-step explanation:

Multiply the top equation by 3 to make the -x a -3x instead.

Then do the top equation - the bottom equation

At this point you should be left with x

7 0
3 years ago
Read 2 more answers
What will be the answer for this? Please help me, please and thank you
Shkiper50 [21]

Answer:

10:1

Step-by-step explanation:

When you cross multiply the fractions together, you should get 30:3. When you simplify that, you get 10:1 as your answer.

5 0
3 years ago
Other questions:
  • What is the total number of digits required in numbering the pages of a book which has 53 pages?
    5·1 answer
  • Which statemate is not true
    10·1 answer
  • Please help me. This is being times and I really need help
    7·1 answer
  • How do I do division of fractions
    6·1 answer
  • How much is 200 tens
    5·1 answer
  • Channing jogs 10 miles a week how many miles will she jog in 52 weeks
    8·1 answer
  • A plane flying from City A to City B travels x miles per hour for a total of 4.75 hours. The plane takes the same route on the r
    8·1 answer
  • What type of triangle?
    12·1 answer
  • Can someone solve #8?
    15·1 answer
  • 1) 6х - 4 = 5х - 11 ; ??<br><br><br> 2) 0,3( х -2) = 0,6 + 0,2(х+4) ; ??
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!