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Katen [24]
3 years ago
14

Ilya and Anya each can run at a speed of 7.50 mph and walk at a speed of 4.00 mph. 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.
Required:
a. How long does it take Anya to cover the distance of 5.00 ?
b. Find Anya's average speed.
c. How long does it take Ilya to cover the distance?
Physics
1 answer:
r-ruslan [8.4K]3 years ago
3 0

Answer:

T_A=0.93hours

S_A=5.23mph

T_l=0.87hour

Explanation:

From the question we are told that

Run speed of Ilya and Anya S_r=7.50mph

Walk speed of Ilya and Anya S_w=4.00mph

Total distance T_d=5.00miles

Anya Walks 1/2d and runs 1/2d

ilya walks 1/2t and runs 1/2d

Generally the distance walked by Ilay k is mathematically given by

Since ilya walks 1/2t and runs 1/2t

Therefore

\frac{k}{4}=\frac{5-k}{7.5}

k=1.7miles

Therefore llay runing distance is m

m=5-1.7\\m=3.3mile

a)Generally the Time walked by Anya T_A is mathematically given by

Anya Walks 1/2d and runs 1/2d

Therefore

t=\frac{2.5}{4.}

t_1=0.6hours

t=\frac{2.5}{7.5}

t_2=0.33hours

T_A=0.6+0.33\\

T_A=0.93hours

b)Generally the average speed of Anya S_A is mathematically given as

S_A=\frac{Distance}{T_t}

S_A=\frac{5.0}{0.93}

S_A=5.23mph

Generally the time taken b y llay T_l is mathematically given by

T_l=2t

T_l=2*(\frac{1.7}{4})

T_l=0.87hour

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