1.

Travels one third of the distance between 12 kilometre per hour and the remaining distance with speed 30 kilometre per hour the average speed of the bus in metres per second is

Answer»

ANSWER:

AVERAGE speed=5.5m/s

Step-by-step explanation:

let the total DISTANCE be x

V1=12 kmph

S1=(1×x)÷3=x÷3

T1=Distance÷Speed=(x÷3)÷12

V2=30kmph

S2=(1-(1÷3))x=(2÷3)x=2x÷3

T2=Distance÷Speed=(2x÷3)÷30

Average Speed=total distance÷total time taken

=((x÷3)+(2x÷3))÷(((x÷3)÷12)+((2x÷3)÷30))

=((x+2x)÷3)÷((2x÷90)+(x÷36))

=(3x÷3)÷((12x÷540)+(15x÷540))

=(x)÷((12x+15x)÷540)

=(x)÷(27x÷540)

=540x÷27x

=20kmph

=20×(5÷18)m/s (1 kmph=5÷18 m/s)

=100÷18m/s

=5.5m/s



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