Assuming there are no accidents or delays, the distance a car travels down the interstatecan be calculated with the following formula:Distance $=$ speed x timeWhile the length of a trip would be calculated byTime $=$ distance$/$speedIn addition, let$$s assume the following are true:$-$For every $2$ hours of travelling, speeding cars can get a ticket depending on howfast they are going. If they travel more than $100$km per hour the ticket is $$200,$ while if theytravel more than $120$km per hour it costs $$800.-$Every hour of travelling consumes, on average, $20$ liters of gas for your make andmodel of car.$-$Gas currently costs $$3\mathrm{.}12$ per literWrite a simple program that takes as input, the speed you plan to travel $($no need to input the distance$)$ and then outputs how long and how expensive it will be to travel thefollowing constant distances:

$1-150$km

$2-450$km

$3-900$km

Your solution must also do the following:$$ Validate these the user input $($speed$)$ meets some logical criteria that you decide.$($hint: can you travel negative KM$/$hour$?)$ Still meet all expectations for style, comments and clarity in code.$$ Use constants where appropriate.$$ Provide a descriptive user experience $($e$.$g$.$ if something goes wrong, the usershould be told what they did wrong so they can fix it in the future$).$To help you succeed, a car travelling $80$ KM$/$hour would expect to produce the followingoutputs:$1.150$km $1\mathrm{.}875$ hours for a cost of $117($no tickets$)2.450$km $5\mathrm{.}625$ hours for a cost of $351($no tickets$)3.900$km $-11\mathrm{.}25$ hours for a cost of $702($no tickets$)$