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
Marianna [84]
3 years ago
7

To arrive at its destination on time the bus should have maintained a speed of vv kilometers per hour throughout the journey. In

stead, after going the first third of the distance at vv kilometers per hour, the bus increased its speed and went the rest of the distance at 1.2v1.2v kilometers per hour. As a result, the bus arrived at its destination xx minutes earlier than planned. What was the actual duration of the trip?
Mathematics
1 answer:
yulyashka [42]3 years ago
7 0

Answer:

The answer to the question is

The actual duration of the trip is 8/9 times the normal duration or the bus arrived 1/9 times earlier than it would have at a constant speed of v kph

Step-by-step explanation:

Speed of bus in the first third distance = v kph

Speed of bus for the remaining two thirds = 1.2 v kph

To solve the question, we note that speed = distance/time

therefore time = distance/speed

Let the distance of the destination be D, then

Normal duration at speed v = D/v

Actual duration (D/3)÷v + (2D/3)÷(1.2v) ⇒ (1.2*D/3 + 2D/3)1.2v

= \frac{D}{3v} +\frac{5D}{9v} = (8/9)×D/v

Therefore the actual duration is 8/9 times the normal duration

You might be interested in
Need help ASAP DUE SOON AND PLEASE SHOW WORk!!!!
Svetradugi [14.3K]

Answer:

87.92 inches cubed or 87.92 in.^3

Step-by-step explanation:

The base of a cylinder is a circle, so we need to calculate the area of the circle first. The equation for the area of a circle is:

area (a) = pi * r^2 =3.14*2*2 =12.56sq.inches

again,

volume of cylinder = area of the base * the height

= 12.56 * 7

= 87.92 inches cubed or 87.92 in.^3

5 0
3 years ago
If one pound = rupees 135 and dollar =105 rupees then convert the pound 63 into Dollar​
enot [183]

Answer:

Step-by-step explanation:

£63 = 135 × 63

       = Rs . 8505

Rs . 8505 = 8505 / 105

                 = $81

6 0
2 years ago
You went to the mall with $80. You spent 25% of your money on a pair of shorts and 65% of the remainder on sandals. How much did
Lapatulllka [165]
He spent $52 on sandals. I got this by multiplying 65% by $80 and got $52.

In short answer $52 
4 0
3 years ago
Read 2 more answers
Find the value of x. The answer is 53, but I need to show my work.<br><br> THANK YOU!!!
fiasKO [112]

Answer:

53

Step-by-step explanation:

so first sutract the large angle from 360:

360 - 213 = 147

then subtract the other large known angle:

147 - 107 = 40

now we know the x - 13 = 40 so to find x we just have to add 13:

40 + 13 = 53

3 0
3 years ago
Read 2 more answers
Please help me
Inga [223]

Answer:

D

Step-by-step explanation:

All real numbers are solution

Step 1: Simplify both sides of the inequality.

8x−7<8x−3

Step 2: Subtract 8x from both sides.

8x−7−8x<8x−3−8x

−7<−3

Step 3: Add 7 to both sides.

−7+7<−3+7

0<4

hope this help:)

5 0
2 years ago
Other questions:
  • A 440 m long road is being repaired. After one day, the workers had repaired 3/4 of the road. What is the length of road left to
    11·1 answer
  • Calculate the average rate of change for the given graph from x = –2 to x = 0 and select the correct answer below.
    12·1 answer
  • Which graph represents the solution set of the system of inequalities?
    14·1 answer
  • (a) Which unit fraction 1/n for n s 50 has the decimal expansion of longest period?
    12·1 answer
  • (a) Draw the image of PQR after a rotation of 180° about the origin. Label the image P'Q'R' .
    15·2 answers
  • Find the x-intercepts/roots of the polynomial function. Also, identify the degree of the polynomial
    5·1 answer
  • Find the terminal point on the unit circle determined by 11pi/6 radiants
    6·1 answer
  • En un día de temporal de lluvia el meteorólogo dijo en las noticias que la probabilidad de que lloviera ese día era del 70%. ¿Qu
    9·1 answer
  • 4.06 Question 3
    10·2 answers
  • Evaluate the expression if h is 1/3
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!