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
Vitek1552 [10]
3 years ago
11

Joshua traveled 5 hours from City A to City B. The distance between the cities is 260 miles. First he traveled at the constant s

peed of 40 mi/h, and then at the constant speed of 60 mi/h. How many hours did he travel at the constant speed of 60 mi/h?
Mathematics
1 answer:
ruslelena [56]3 years ago
5 0

Joshua  travelled for 3 hours at the constant speed of 60 mi/h

<h3><u>Solution:</u></h3>

Given that, Joshua traveled 5 hours from City A to City B

The distance between the cities is 260 miles.  

First he traveled at the constant speed of 40 mi/h, and then at the constant speed of 60 mi/h.  

So, let the number of hours he travelled with 40 mi/h be "n" hours and the distance travelled be "x" miles

Then, the time in which he travelled with 60 mi/h will be 5 – n hours and distance travelled will be 260 – x miles

We have to find how many hours did he travel at the constant speed of 60 mi/h

<em><u>The relation between speed and distance is given as:</u></em>

\text { distance }=\text { speed } \times \text { time. }

\begin{array}{l}{40 \mathrm{mil} / \mathrm{h} \times \mathrm{n} \text { hours }= x \text { miles }} \\\\ {\rightarrow x=40 \mathrm{n} \rightarrow(1)} \\\\ {\text { And } 60 \times(5-\mathrm{n})=260-x \text { miles }}\end{array}

\begin{array}{l}{\rightarrow 300-60 n=260-40 n(\text { from }(1))} \\\\ {\rightarrow 60 n-40 n=300-260} \\\\ {\rightarrow 20 n=40} \\\\ {\rightarrow n=2}\end{array}

So, he travelled 2 hours with speed of 40 mi/h and 5 – 2 = 3 hours with speed of 60 mi/h

Hence, he travelled for 3 hours

You might be interested in
A proof in which you assume the opposite of what you want to prove
KonstantinChe [14]
Proof of Contradiction. 
6 0
3 years ago
A=16,b=63<br> Find the missing angle
Julli [10]
180 - 16 - 63 = 101.  The remaining angle is 101*  

Hope I helped!
6 0
3 years ago
Read 2 more answers
-4x+2y=5 is this in a standard form
soldier1979 [14.2K]

Right. Your answer is still no because your x-value needs to be positive.

8 0
3 years ago
Sharon lives in Virginia and expects the taxes on her bond income to be 5.75%
Firlakuza [10]
Well good for Sharon :D
4 0
3 years ago
What is 0.75 as the lowest possible fraction?
elena-s [515]
The lowest possible fraction is 3/4 because 0.75=75/100 then you divide both terms by 25 and get 3/4

3 0
3 years ago
Read 2 more answers
Other questions:
  • Apex Help!!!! At the beginning of year 1, Gracie invest $350 at annual simple interest rate of 4%. She makes no deposits to or w
    10·2 answers
  • I am in need of help with line and angle proofs.​
    15·1 answer
  • A soup recipe makes 6 cups. How many people does it serve 3/4 of each serving is of a cup?
    15·1 answer
  • How do you solve 4x^6/2x-6
    5·1 answer
  • Solve -7+11-(-3 ) what is the answer need asap for class​
    7·1 answer
  • I need help on this math
    13·2 answers
  • 1000000×345671234567
    15·2 answers
  • out of every 10 pins eight pins are black if there are 50 pins in the pack what fraction of the pins in the pack are black
    10·2 answers
  • 10. 3x – x +4 = 4(2x-1)
    7·1 answer
  • PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS HELP ASAP
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!