Solve the following questions on the basis of the information given below:

Metro services in Hyderabad is operating on 11 stations in its first phase starting from Jubilee Hills to Char Minar. Each station is separated by 6km. There are 4 metro lines namely Red, Blue, Green and Violet.

Red and Violet services start from Jubilee Hills to Char Minar, with red line travelling every hour starting from 6AM upto 10PM while violet line starts every hour from 6:30PM upto 10:30PM.

Blue and Green services start from Char Minar to Jubilee Hills, with blue line travelling every hour starting from 6:15AM upto 10:15PM while green line starts every hour from 6:45PM upto 10:45PM.

All metro line cover entire distance of 60km in 3 periods with different speeds in each period as shown below.

If Mr. Rao reaches Jubilee hills just in time to be able to take a metro starting from Jubilee hills to Char Minar, what is the minimum number of minutes he would require if he wants to travel to Char Minar, catch the earliest possible train from Char Minar and return to Jubilee Hills.