Mr. Johnson leaves on a trip planning to travel 24 mph. How fast must his son James travel to overtake him in 5 hours if he starts 2 1 2 hours after his father?

Answers

Answer 1
Answer: The distance traveled by Mr.Johnson in 1 hour = 24 miles
Time after which his son James starts the chase = 2 1/2 hours
                                                                                 = 5/2 hours
                                                                                 = 2.5 hours
Then
time after which James will catch Mr.Johnson = 5 + 2.5 hours
                                                                          = 7.5 hours
Distance traveled by Mr.Johnson in 7.5 hours = 24 * 7.5 miles
                                                                         = 180 miles
So the distance James need to cover is 180 miles and that has to be covered in 5 hours
So
Speed at which James needs to travel = 180/5 miles per hour
                                                               = 36 miles per hour
From the above deduction we can conclude that James needs to travel at a speed of 36 miles per hour to catch his fathe in 5 hours.
                  
Answer 2
Answer:

Final answer:

To overtake his father in 5 hours, who started 2.5 hours earlier, James will need to travel at an average speed of 36 mph.

Explanation:

This is a relative speed problem in physics. The father departs first and travels for a total of 7.5 (5+2.5) hours at a speed of 24 mph. Therefore, Mr. Johnson travels a total distance of 180 (24 * 7.5) miles. James leaves 2 1/2 hours after his father and needs to cover the same distance in 5 hours to overtake him. Therefore, by dividing the total distance (180 miles) by the time (5 hours), we find that James needs to travel at 36 mph to overtake his father.

Learn more about Relative Speed here:

brainly.com/question/14362959

#SPJ11


Related Questions

Evaluate m0 - n2 for m = 2 and n = -1.
Can someone answer this question please?
What transformation is represented by the rule (x,  y)→(−y,  x)
If BC = 9 and CD = 29, find AC.38 Squared Root 3 Radical 29 38261
To prepare for a triathlon, Mary swam 6.2 miles, jogged 10.5 miles, and biked 18.1 miles. In total, how many miles did she travel during exercise?

Ersin cebindeki 8 lirayı pazartesi günü kumbarasına koyduktan sonra babası bundan sonra her gün ersine 8 lira koyması için her gün 3 lira veriyor buna göre hangi gün ersinin kumbarasında 74 lira olur

Answers

Cevap:

Salı

Adım adım açıklama:

İlk depozito (Pazartesi) = 8 lira

Günlük yatırılan miktar = 3 lira

74 liraya sahip olmak için gereken gün sayısı;

Gün sayısı = x olsun

8 + 3x = 74

3x = 74 - 8

3x = 66

x = 66 / 3

x = 22 gün

Pazartesiden 22 gün sonra; Salı gününe denk gelecek

Plot the intercept to graph the equation x+5y=5

Answers

what grade are you in because if you are in elementary you aian't  learning this 

The function h(x) = –2x2 + 8x written in vertex form is h(x) = –2(x – 2)2 + 8. The function h(x) is shown on the graph along with the parent function, f(x) = x2.Which statement is true concerning the vertex and axis of symmetry of h(x)?

The vertex is at (0, 0) and the axis of symmetry is x = 2.
The vertex is at (0, 0) and the axis of symmetry is y= 2.
The vertex is at (2, 8) and the axis of symmetry is x = 2.
The vertex is at (2, 2) and the axis of symmetry is y = 2.

Answers

The general vertex form of a quadratic function is this: h(x) = -a(x-h) + k.
The vertex is at (h,k) and the axis of symmetry is at x=h.

Using this, the true statement among the choices is this:
The vertex is at (2, 8) and the axis of symmetry is x = 2.

Answer: C. The vertex is at (2, 8) and the axis of symmetry is x = 2.

Step-by-step explanation:

This answer is 100% correct for edge.nuity users and also e2020.

To solve a problem, we often _________ the given information into algebraic expressions and equations.

Answers

Answer – Translate
 To solve a problem, we often translate the given information into algebraic expressions and equations; in doing so, the variable (unknown value) is represented with a letter. For instance, the information, “6 less than twice a number" is translated to '2n – 6'.

Find the supplement and complement of θ=3π/5.

Answers

we shall convert first the angle in radians to degrees for convenience. The conversion is equal to 108 degrees. In this case, this is a second quadrant angle. The supplement angel is 180 - 108 equal to 72 degrees which is equal to 2 pi/5 . The complement is the same as the supplement

Two auction websites start with 100 members each. At site A, the number of members doubles each month. At site B, 500 new members are added each month. Between months 5 and 6, which website gains more members and by how much?

Answers

Answer:

site A would have 3200 total memebers and site B would have 2600 by month 6. A gained more

Step-by-step explanation:

a: month 5 is 1600 and month 6 is 3200 so the difference is 1600 between 5 and 6

b: month 5 2100 and month 6 is 2600. theres a 500 difference