Question

A bus covers half distance at speed V and remaining half at speed V1 for 1/3rd time and V2 for 2/3rd time.. Find Average speed of the bus.

Answer 1

Answer:

2/  (1/V  +  3/(V1 + 2V2))

2V (V1 + 2V2) / ( V1 + 2V2 + 3V)

Explanation:

A bus covers half distance at speed V and remaining half at speed V1 for 1/3rd time and V2 for 2/3rd time.. Find Average speed of the bus.

Let say Total Distance = 2D

Half Distance = 2D/2 = D

Speed = V

Time taken = D/V

Remaining Distance = D

Let say time taken further = 3T

V1 *T + V2* 2T = D

=> T (V1 + 2V2) = D

=> T = D/(V1 + 2V2)

Total Distance = 2D

Total time Taken = D/V  + 3D/(V1 + 2V2)

= D (1/V  +  3/(V1 + 2V2))

Average speed =  Total Distance / Total Time

= 2D/ D (1/V  +  3/(V1 + 2V2))

= 2/  (1/V  +  3/(V1 + 2V2))

=  2V (V1 + 2V2) / ( V1 + 2V2 + 3V)

Answer 2

Explanation:

Only Answer must be provided