Question

In: Physics

Ilya and Anya each can run at a speed of 8.80mph and walk at a speed...

Ilya and Anya each can run at a speed of 8.80mph and walk at a speed of 3.70mph . They set off together on a route of length 5.00 miles. Anya walks half of the distance and runs the other half, while Ilya walks half of the time and runs the other half.

A. How long does it take Anya to cover the distance of 5.00 miles? Express your answer numerically, in minutes.

B. Find Anya's average speed. Express Anya's average speed numerically, in miles per hour.

C. How long does it take Ilya to cover the distance? Express the time taken by Ilya numerically, in minutes.

D. Now find Ilya's average speed. Express Ilya's average speed numerically, in miles per hour.

Solutions

Expert Solution

let Var and Vaw be run walk speed of anya
let Vir an Viw be run and walk speed of illya
Var = Vir = 8.8mph
Vaw = Viw = 3.70mph
distance = 5.0 miles
for anya
time taken while running = distance/2xVar
                         = 5/2x8.8
                         =17.045 min                   
time taken while walking = distance/2XVaw
                         = 5/2x3.7
                         = 0.6757 hrs
                         = 40.541 minutes
total time taken = 17.045 + 40.541
                 = 57.586 minutes
average speed = total distance / total time
              = 5 x 60/57.586
              = 5.2096 mph
for illya
let k be the distance travelled during running
time taken for running = distance /Vir
                       =k/8.8
time taken for walking = distance/Viw
                       = 5-k/3.7
time taken for runnning = time taken for walking
k/8.8 = 5-k/3.7
k(3.7 + 8.8) = 5 x 8.8
k = 3.52
time taken for running = k/8.8
                       = 3.52/8.8
                       = 0.4 hrs
                       = 24min
total time taken = 2 x 24 = 48min
average speed = total distance /total time
              = 5x 60/48
              = 6.25mph

a 57.586minutes
b 5.2096mph
c 48min
d 6.25mph


Related Solutions

Ilya and Anya each can run at a speed of 8.30mph and walk at a speed...
Ilya and Anya each can run at a speed of 8.30mph and walk at a speed of 3.90mph . They set off together on a route of length 5.00miles . Anya walks half of the distance and runs the other half, while Ilya walks half of the time and runs the other half. How long does it take Anya to cover the distance of 5.00miles ? Express your answer numerically, in minutes. Find Anya's average speed. Express Anya's average speed...
A tortoise can run with a speed of 0.13 m/s, and a hare can run 20...
A tortoise can run with a speed of 0.13 m/s, and a hare can run 20 times as fast. In a race, they both start at the same time, but the hare stops to rest for 5.0 minutes. The tortoise wins by a shell (20 cm). (a) How long does the race take? s (b) What is the length of the race?.
Walk then Run Compute your average velocity in the following two cases. (a) You walk 77.7...
Walk then Run Compute your average velocity in the following two cases. (a) You walk 77.7 m at a speed of 1.22 m/s and then run 77.7 m at a speed of 3.05 m/s along a straight track. m/s (b) You walk for 1.69 min at a speed of 1.22 m/s and then run for 1.69 min at 3.05 m/s along a straight track. Incorrect: Your answer is incorrect. m/s (c) Graph x versus t for both cases and indicate...
This past summer, Victoria opened Victorian Walk and Run, a store that sells quality running/walking shoes...
This past summer, Victoria opened Victorian Walk and Run, a store that sells quality running/walking shoes and sneakers and sport clothes for serious walkers and runners.  The store is located in Cape May, NJ, the southern-most town in NJ.  Before Victorian Walk and Run opened, walkers and runners had to drive about 2 hours north to Blueberry, NJ, to get quality walking and running products at Donald’s Best Running Products. Victoria has just discovered that the South Jersey representative for the premier...
At a dental clinic, in the past, patients can walk in to see the dentist. Both...
At a dental clinic, in the past, patients can walk in to see the dentist. Both inter-arrival time and service time by the dentist are random. It is also observed that arrival rate is smaller than the service rate. Now the clinic has implemented an appointment system with a constant time slot length for each patient. As a result, assuming that all patients arrive on time, the time between the arrival of two consecutive patients is a constant. Suppose that...
Monopolistic competitors can make a _____________ in the short-run, but in the long run, ______________ will...
Monopolistic competitors can make a _____________ in the short-run, but in the long run, ______________ will drive these firms toward _______________________. A) profit or loss; entry and exit; a zero-profit outcome B) loss; exit; losses on their earnings C) profit or loss; exit; economic profits D) profit; entry; a price that lies at the very bottom of the AC curve
A certain elevator cab has a total run of 193 m and a maximum speed is...
A certain elevator cab has a total run of 193 m and a maximum speed is 322 m/min, and it accelerates from rest and then back to rest at 1.18 m/s2. (a) How far does the cab move while accelerating to full speed from rest? (b) How long does it take to make the nonstop 193 m run, starting and ending at rest?
A) A runner begins to run from rest and it takes him 10.4 meters to speed...
A) A runner begins to run from rest and it takes him 10.4 meters to speed up to a speed of 12m/s. What is this runner's acceleration? B) What is the final speed of an object dropped from rest at a height of 120m? C) What would the final speed of a mass sliding through a 32m frictionless incline of 24 degrees be? D) What is the range of a projectile shot horizontally at a height of 46m with a...
What can you say in general about the limiting behavior of a random walk on an...
What can you say in general about the limiting behavior of a random walk on an even-length cycle compared to that of the lazy random walk?
Explain each of the following methods for the analysis of share prices:  Random walk theory...
Explain each of the following methods for the analysis of share prices:  Random walk theory  Technical (or chart) analysis  Fundamental analysis
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT