Two trains each make a journey of 330km. one of the trains travels 5km/h faster than the other and takes 30 minutes less. find the speed of the trains.

S 1 =   =55 km/h

S 2 = 55 km/h + 5 km/h = 60 km/h  

Step-by-step explanation:

Given as,

Distance cover by both Trains = D1 = D2 =330 km

Speed of Train 1 = S  km/h                        Speed of Train 2 = (S + 5) km/h

Time taken by Train 1 = T hour    Time take by Tain 2 =T - h

Now Distance = Speed × Time

So, S ×T =  (S + 5) ( T - )

Or, + = 5 T

i.e S + 5 = 10 T

As, D = S× T

So, 330 = ( 10T - 5 ) × T = 10T² - 5T

Or 2 T² - T = 66

     2 T² - 12 T +11 T - 66 = 0

Or,  2T (T - 6 ) + 11 ( T - 6 ) = 0

Or,   T = 6 , -  5.5 hour

SO S 1 =   =55 km/h

     S 2 = 55 km/h + 5 km/h = 60 km/h    Answer

choice b is correct

step-by-step explanation:

we have been given the following system of inequalities;

we are required to graph the solution to the system of inequalities. using a graphing tool, the graph of the system is as shown in the attachment. the continuous line represents the graph of while the dotted line represents .