Question

14. A particle travels one fourth of distance with constant speed of 5m/s and remaining distanc e with the constant speed of 18m/s. What is the average speed of the car ? 1) 11.5 m/s 2) 10.9 m/s 3) 15 m/s 4) 10 m/s​

Answer 1

Answer:

Hope it helps you dear

Refer to the attachment

Answer 2

Given : A particle travels one fourth of distance with constant speed of 5m/s and remaining distance with the constant speed of 18m/s.

To Find : The average speed of the car

1) 11.5 m/s 2) 10.9 m/s 3) 15 m/s 4) 10 m/s​

Explanation:

Let say Distance  =  4D  m

One fourth Distance = (1/4)4D = D m

Remaining Distance = 4D - D = 3D m

Time = Distance / Speed

Time Taken for  D m  =  D/5   secs

Time Taken for 3D m  = 3D/18  = D/6  sec

Total Time = D/5 + D/6

= 11D/30

Total Distance = 4D

Average Speed =  4D/ (11D/30)

= 120/11

≈ 10.91

≈ 10.9  m/s

Hence correct Answer is option 2) 10.9 m/s

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