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
rewona [7]
3 years ago
14

A passenger traub keaves a depot 1.5 hours after a freight train leaves the same depot. The passenger train is travleing 18 mph

faster than the freight train. Find the rate of each train if the passenger train overtakes the freight train in 2.5h.
Mathematics
2 answers:
skelet666 [1.2K]3 years ago
8 0

Answer:

Speed of passenger train=18+30=48 mph

Speed of freight train=30 mph

Step-by-step explanation:

Let x be the speed of freight train.

Speed of passenger train=x+18 mph

Time taken by freight train=1.5+2.5=4 hrs

Time taken by passenger train to overtake the freight train=2.5 hrs

Distance=Speed\times time

By using this formula

Distance traveled by passenger train=2.5(x+18)  miles

Distance traveled freight train=4x

According to question

2.5(x+18)=4x

2.5 x+45=4x

45=4x-2.5 x

45=1.5 x

x=\frac{45}{1.5}=30

Speed of freight train=30 mph

Speed of passenger train=18+30=48 mph

Svetllana [295]3 years ago
5 0

Answer:

Step-by-step explanation:

At the point where the passenger train overtook the freight train, both trains must have travelled an equal distance.

Let x represent the speed of the freight train.

The passenger train is travelling 18 mph faster than the freight train. This means that the speed of the passenger train would be

x + 18

The passenger train leaves a depot 1.5 hours after a freight train leaves the same depot. if the passenger train overtakes the freight train in 2.5h, it means that total time taken by the passenger train is 2.5h and total time taken by the freight train is 2.5 + 1.5 = 4 hours.

Distance travelled = speed × time

Distance travelled by freight train = 4 × x = 4x

Distance travelled by passenger train = 2.5(x + 18) = 2.5x + 45

Since they travelled equal distances, then

4x = 2.5x + 45

4x - 2.5x = 45

1.5x = 45

x = 45/1.5 = 30

Therefore,

the speed of the freight train is 30 mph and

the speed of the passenger train is x + 18 = 30 + 18 = 48 mph

You might be interested in
Multiply. Do not round your answer.<br><br> 3.5 × 7.1
rosijanka [135]

Answer:

24.85

multiply 3.5 to 7.1 then move the decimal to the left two times

3 0
3 years ago
Amanda's car gets 27 miles per gallon. If her tank holds 22 1/2 gallons how many gmiles can she drive on one tank of gas
lianna [129]
27 * 22.5 = 607.5 (or 607 1/2) miles
6 0
3 years ago
Need a little help here pls
Crank

Answer:

The statements that must be true are:

XY and JK form four right angles ⇒ B

XY ⊥ JK ⇒ C

JP = KP ⇒ E

m∠JPX = 90° ⇒ F

Step-by-step explanation:

From the given figure

∵ Line XY is the perpendicular bisector of the line segment JK

→ That means line XY is the line of symmetry of the line segment JK

∴ XY ⊥ JK ⇒ C

∵ XY ∩ JK at point P

∴ P is the midpoint of JK

∵ XY ⊥ JK

∴ ∠JPX, ∠KPX, ∠JPY, and ∠KPY are right angles

∴ XY and JK form four right angles ⇒ B

∵ The measure of the right angle is 90°

∴ m∠JPX = m∠KPX = m∠JPY = m∠KPY = 90°

∴ m∠JPX = 90° ⇒ F

∵ P is the midpoint of JK

∴ JP = KP ⇒ E

4 0
3 years ago
Jamie has 4 apples and 6 bananas. Each apple cost 0.75 and each banana cost 0.6” write an expression representing the total cost
Lorico [155]
(0.75*4) + (0.6*6) = 6.6

answer: 6.6
5 0
3 years ago
Read 2 more answers
PLEASE HELP‼
stellarik [79]

D. 75 cm

Step-by-step explanation:

fill in the y with 20.5, so you get 20.5=0.3x-2. Add the 2 to the 20.5 so you get 22.5=0.3x. Divide both by 0.3 to get 75=x.

sorry if it's a bd explanation, hope this helps :)

4 0
3 years ago
Other questions:
  • Classify each of the triangles as acute, obtuse, or right.
    7·2 answers
  • The formula d = rt gives the distance traveled in time t at rate r. A truck rides for 1.5 hours and travels 76 miles. what was t
    7·1 answer
  • We ask the engineers working on activity A to factor in uncertainty in activity times and to provide better estimates of the act
    7·1 answer
  • Simplify: 4x-5y -2y+x
    9·1 answer
  • The fucntion f(x)= square root -x is shown on the graph. Which statement is correct?
    10·1 answer
  • Help please i need to do this for a review
    14·1 answer
  • They keep returning and saying show work again​
    11·1 answer
  • Can you guys help me please
    5·1 answer
  • 40 facts increased to 56. What is the percent increase?
    14·1 answer
  • The length of a rectangle is 2 centimeters less than five times the width of a rectangle. The area of the rectangle is 16 square
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!