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
miskamm [114]
3 years ago
6

An express train makes a run of 240 km at a certain speed. Another train whose speed is 12 km/hr less takes an hour longer to co

ver the same distance. Find the speed of the Express train in km/hr
Mathematics
2 answers:
sveticcg [70]3 years ago
8 0

Answer:

116.9 km/hr

Step-by-step explanation:

Let the speed of the express train be s and the time required by that train to cover 240 km be t.

Since distance = rate times time,

rate = distance / time

                                                            240 km

and so, for the express train, rate = ----------------

                                                                   t

To solve this problem, find the rate of the express train first.

                                                                 240 km

For the other train, rate - (12 km/hr) = -----------------

                                                                     t - 1

Substituting (240 km)/1 for rate in the second equation results in:

240 km       12 km         240 km

------------ - ------------- = ------------------

    1 hr            1 hr              t - 1

Simplifying the left side, we get:

 228 km       240 km

--------------- = -------------

     1 hr              t - 1

Note that if we multiply 228 km by 1.053, we get 240 km.

Let's multiply both numerator and denominator of the left side of the above equation by 1.053:

 240 km         240 km

---------------- = --------------

  1.053 hr           t - 1

Then t - 1 = 1.053, and t = 2.053 (hours)

We already know that the speed of the first train is

            240 km

rate = ----------------

                   t

and we now know that t = 2.053 hrs.

Thus, the rate of the express train is

            240 km

rate = ------------------ =  116.9 km/hr

             2.053 hrs                                                       t

Evgesh-ka [11]3 years ago
3 0

Answer:

12.63 km/hr

Step-by-step explanation:

Given the distance=240km

At 12 km/hr it will take =240/12 =20

time for Express train = 20-1=19

speed=240/19=12.63...km/hr

You might be interested in
Brandon was playing a video game where he scores three points for each treasure he finds. If he found 32 treasures on the first
ratelena [41]

Answer:

300 points

Step-by-step explanation:

32 treasures means he has 32*3 points which is 96 points.

68 treasures means he has 68*3 points which is 204 points.

96+204 is 300

5 0
2 years ago
Standard algorithm for multiplication
Oksi-84 [34.3K]
A standard algorithm is a step-by-step way to solve a problem.

5 0
3 years ago
Read 2 more answers
Nine buses hold 85 people each. If 693 people buy tickets for a trip, how many seats won’t be taken?
Greeley [361]

Answer:

72

Step-by-step explanation:

you take 85 * 9

85 = # of seats

9 = # of buses

then you get 765

next, you take 765 - 693

765 = # of seats

693 = # people who bought tickets for a trip

finally you get 72

72 = # of empty seats

4 0
2 years ago
Look at the figure, DFGME. Find the length of EM.
suter [353]
EM is 20 my friend aloha
5 0
3 years ago
Read 2 more answers
Solve for x. √10−13x=x−4<br><br> x=−2 or x=−3<br> x = 2 or x = 3<br> no solution<br> x=−6 or x = 1
frutty [35]
Your answer should be the 3rd choice. There is no solution.

7 0
3 years ago
Other questions:
  • Kendra gets a paycheck of $300 after 5 days of work. At this rate, how much does she get paid for working 24 days?
    9·2 answers
  • 14 and 15 pls and I need work too thax
    7·1 answer
  • As a reward for being name employee of the year Janice will receive a 3.5 pay raise . If Janice new salary is 45,000 how much wa
    7·2 answers
  • Evaluate 2(4 – 1)^2<br> plz hurry i’ll give best if right
    14·1 answer
  • At the beginning of year 1, Matilda invests $450 at an annual simple interest rate of 5%. She makes no deposits to or withdrawal
    5·1 answer
  • Please help me asap, i wi give brainliest!! &lt;3​
    14·1 answer
  • PLEASE HELP!!!
    5·1 answer
  • If 4x - 9 = 35,<br> find the value of 6x + 4
    15·2 answers
  • The blank one show work pls (not required)
    10·1 answer
  • What is the slope of the line represented by the equation y- 6 = 2(x+3)?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!