Question

A car travels along the three sides of a equilateral triangle at the speeds of 200, 400 and 600 km/hr. Find the average speed of the car around the field? ( approximately)

Answer 1

Answer:

1300

Step-by-step explanation:

Answer 2

The average speed of the car around the field is 327.27 km/hr.

Step-by-step explanation:

Required formula:

• Speed = [distance] / [time]

• Average speed = [total distance] / [total time]

Let each side of the equilateral triangle be “d” km .

∴ The total distance the car covers around the field = d+d+d = 3d km

The speed of the car on each side of the triangle is given as,

s1 = 200 km/hr

s2 = 400 km/hr

s3 = 600km/hr

Let the time taken by the car on each side be “t1”, “t2” & “t3” seconds respectively.

Thus, by using the above-mentioned formulas and substituting the values, we get

The average speed of the car around the field as,

= $\frac{3d}{t1+t2+t3}$

= $\frac{3d}{\frac{d}{200}+\frac{d}{400}+\frac{d}{600}}$

= $\frac{3}{\frac{6+3+2}{1200}}$

= $\frac{3*1200}{11}$

= $\frac{3600}{11}$

= 327.27 km/hr

Hope this is helpful!!!!