SOLUTION: The airplane could fly 2080 miles in 5 more hours than it took the sports car to drive 195 miles. The speed of the airplane was 4 times the speed of the sports car. Find the speeds

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Question 470628: The airplane could fly 2080 miles in 5 more hours than it took the sports car to drive 195 miles. The speed of the airplane was 4 times the speed of the sports car. Find the speeds and times of both
Answer by monika_p(71) About Me  (Show Source):
You can put this solution on YOUR website!
for the airplane d=2080, t=t1+5, and v=4*v1
for the car d1=195, t1=? , and v1=?
speed formula
v=d%2Ft
for the airplane we can write:
4%2Av1=2080%2F%28t1%2B5%29
for the car
v1=195%2Ft1
since the first equation for airplane has 2 unknown lets substitute v1 from 2nd equation
4%2A195%2Ft1=2080%2F%28t1%2B5%29
780%2Ft1-2080%2F%28t1%2B5%29=0
%28780%28t1%2B5%29-2080t1%29%2Ft1%28t1%2B5%29=0
780t1%2B3900-2080t1=0
1300t1=3900
t1=3
then v1=195%2F3=65
t=t1+5 = 8
v=4*v1=4*65=260