Carlos and Maria drove a total of 233 miles in 4.4 hours. Carlos drove the first part of the trip and averaged 55 miles per hour
. Maria drove the remainder of the trip and averaged 50 miles per hour. For approximately how many hours did Maria drive? Round your answer to the nearest tenth if necessary. A)1.8 hours
B)3.1 hours
C)2.7 hours
D)2.6 hours
D=233 carlos speed=55 maria speed=50 total time=4.4 hours
so therefor we have to represent carlos time maria time carlos distance maria dstance
let's say that remember that whatever carlost drove is 233 minus maria (time and distance) and since we are solving for maria time and distnace, solve in terms of them maria time=t maria distance=d carlos time=4.4-t carlos distance=233-d
remember total D=RT find their seperate equations carlos 233-d=55(4.4-t)
maria d=50(t) use them to solve
233-d=55(4.4-t) subsitute 50(t) for d 233-50t=55(4.4-t) add 50t to both sides 233=55(4.4-t)+50t distribute using distributiver protperty (a(b+c)=ab+ac) 55(4.4-t)=242-55t 233=242-55t+50t add like terms 233=242-5t add 5t to both sides 233+5t=242 subtract 233 from both sides 5t=9 divdie both sides by 5 t=1.8 maria drove 1.8 hours
