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
Evgen [1.6K]
3 years ago
13

A train travels train travels 288 kilometre at a uniform speed. If the speed had been 4 kilometre per hour more it would have ta

ken 1 hour less for the same journey. Find the speed of the train
Mathematics
1 answer:
kiruha [24]3 years ago
4 0

Answer:

Let the speed of the train be x km/h.

Case 1:

Distance = 288 km

Speed = x km/h

Time = Distance/Speed

= 288/x h

Case 2:

Distance = 288 km

Speed = (x+4) km/h

Time = 288/x + 4 h

Since 288/x > 288/x + 4

288/x - 288/x+4 = 1

288[1/x - 1/x+4 ] = 1

[ x + 4 - x / x(x + 4) ] = 1/288

[4 / x^2 + 4x ] = 1/288

x^2 + 4x = 1152

x^2 + 4x - 1152 = 0

x^2 + 36x - 32x - 1152 = 0

x(x + 36) - 32(x + 36) = 0

(x + 36)(x - 32) = 0

x + 36 = 0 , x - 32 = 0

x = -36 , x = 32

x = -36 , rejected since speed cannot be negative.

Therefore , speed of the train = 32 km/h

You might be interested in
The solution set x ≤ 2 or x ≥ 4 is consistent with an equation of the form
yawa3891 [41]

Answer:

the answer is choice a your welcome

6 0
3 years ago
if a store uses a selling price based markup of 40% and an item cost the store $300 what selling price would the store set for t
kirza4 [7]

Answer:

The selling price would be $420.

Step-by-step explanation:

In order to find the mark up, we need to multiply the amount it originally costs by the percentage it is being marked up.

$300 * 40% = $120

Now that we have the mark up amount, we add it to the original cost to get the sale price.

$300 + $120 = $420

6 0
2 years ago
What is 6/15 written as a decimal?
Allushta [10]
It will be C cause you divid 15 and 6
3 0
3 years ago
Read 2 more answers
Two certificates of deposit pay interest that differ by 3%. Money invested for one year in the first CD earns $240 interest. The
Soloha48 [4]

a = interest rate of first CD

b = interest rate of second CD

and again, let's say the principal invested in each is $X.

\bf a-b=3\qquad \implies \qquad \boxed{b}=3+a~\hfill \begin{cases} \left( \frac{a}{100} \right)X=240\\\\ \left( \frac{b}{100} \right)X=360 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \left( \cfrac{a}{100} \right)X=240\implies X=\cfrac{240}{~~\frac{a}{100}~~}\implies X=\cfrac{24000}{a} \\\\\\ \left( \cfrac{b}{100} \right)X=360\implies X=\cfrac{360}{~~\frac{b}{100}~~}\implies X=\cfrac{36000}{b} \\\\[-0.35em] ~\dotfill\\\\

\bf X=X\qquad thus\qquad \implies \cfrac{24000}{a}=\cfrac{36000}{b}\implies \cfrac{24000}{a}=\cfrac{36000}{\boxed{3+a}} \\\\\\ (3+a)24000=36000a\implies \cfrac{3+a}{a}=\cfrac{36000}{24000}\implies \cfrac{3-a}{a}=\cfrac{3}{2} \\\\\\ 6-2a=3a\implies 6=5a\implies \cfrac{6}{5}=a\implies 1\frac{1}{5}=a\implies \blacktriangleright 1.2 = x\blacktriangleleft

\bf \stackrel{\textit{since we know that}}{b=3+a}\implies b=3+\cfrac{6}{5}\implies b=\cfrac{21}{5}\implies b=4\frac{1}{5}\implies \blacktriangleright b=4.2 \blacktriangleleft

3 0
3 years ago
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Naya [18.7K]

Answer:

D. reflection across a vertical line

Step-by-step explanation:

Reflection is basically a mirror image. Since you can see that the first triangle is flipped over to get the second one, this is a reflection.

It is not a vertical translation; this means that the triangle shifted up or down.

It is not a horizontal translation, this means that the triangle shifted left or right.

It is not a rotation about point A either, this would have meant that the triangle spun around.

3 0
3 years ago
Read 2 more answers
Other questions:
  • Gershon created a pattern using shapes. He used 6 circles and 9 squares in his pattern. He created a second pattern with the sam
    15·1 answer
  • 5 minus 16 tenths equals
    8·2 answers
  • If the tax rate is 8% how much tax would Luis pay for a pair of pants for 18$ and 2 shirts for 9.99$ each
    6·2 answers
  • Given the statement "If Jack's pet is a pig, then Jack's pet cannot fly," which statement represents the converse?
    5·2 answers
  • Is 5.8 > fifty-eight hundredths
    12·2 answers
  • What is a budget? (Need 2 sentences or more)
    14·1 answer
  • Without dividing or listing multiples how can you tell if 61 is a multiple of 6
    13·2 answers
  • Solve the following system of equations by linear combination:
    13·1 answer
  • Please help me out with those questions...
    11·1 answer
  • Help <br><br> Dealing with corresponding write reasons as well pls
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!