Speed Problems , Percentages
Daniel Klimkevics Grade 11 . b , Private Secondary School , Klasika ’’ Riga , Latvia Condition
Speed limit is set on motorways ; 120 km / h for cars and 90 km / h for trucks . The speed limit penalties defined in the rules are TL 235 if the speed limit is exceeded between 10 % and 30 %, and TL 488 if more than 30 % is exceeded .
a ) Determine the minimum arrival time
truck time = 450km / 90km / h car time = 450km / 120km / h
Answer For truck - 5 hours For car - 3 hrs 45 min
b ) Determine if the truck driver who completes the trip in 4 hours will pay a traffic ticket , and if so , how much he will pay .
450 / 4 = 112,5km / h |
90 / 112,5 = 100 / x |
90 km / h - 100 % |
0,8x = 100 |
112,5 km / h - x % |
x = 125 % - attached speed |
Answer Fine = 235 lir because attached speed is 25 %
c ) Determine if the driver of the car who will make the trip in 3 hours 15 minutes will pay a traffic ticket
450 : 13 / 4 = 450 * 4 / 13 = 1800 / 13 = 138,5 120 km / h - 100 % 138,5 km / h - x % 120 / 138,5 - 100 / x x = 1385 / 12 x = 115,5
Answer Fine = 235 lir because speed limit is attached - 15,5 % ( less than 30 %)