Question

A car travels successive one third of its journey along a straight line with uniform speeds of u,v and w respectively .Calculate the average speed of the car ​

Answer 1

Speed(s)=distance(d)/time(t)

Let us assume the total distance travelled to be 3x.

So the car travels x distance with each speed.

Since, s=d/t,
t=d/s
So the total time taken would be
T=x/40 + x/50 + x/60
Total distance, D=3x

Avg speed = D/T = 3x/( x/40 + x/50 + x/60 )
Cancel x from numerator and denominator and solve for average speed.

Answer 2

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Explanation:

Speed(s)=distance(d)/time(t)

Let us assume the total distance travelled to be 3x.

So the car travels x distance with each speed.

Since, s=d/t,

t=d/s

So the total time taken would be

T=x/40 + x/50 + x/60

Total distance, D=3x

Avg speed = D/T = 3x/( x/40 + x/50 + x/60 )

Cancel x from numerator and denominator and solve for average speed.