SOLUTION: if a person travels for a total distance of 2880 km by bus travelling at 50 kph and then by plane travelling at 700 kph. What distance was travelled by bus and what distance was tr

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Question 715657: if a person travels for a total distance of 2880 km by bus travelling at 50 kph and then by plane travelling at 700 kph. What distance was travelled by bus and what distance was travelled by plane if the total time taken was 5 hours?
Tried to use D/S = T but couldn't come up with two linear equations.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
if a person travels for a total distance of 2880 km by bus travelling at 50 kph and then by plane travelling at 700 kph.
What distance was travelled by bus and what distance was travelled by plane if the total time taken was 5 hours?
:
Let p = distance traveled by plane
Let b = distance traveled by bus
then
p + b = 2880
we can also write it
b = (2880-p)
:
Write a time equation; time = dist/speed
:
Bus time + Plane time = 5 hrs
b%2F50 + p%2F700 = 5
replace b with (2880-p)
%282880-p%29%2F50 + p%2F700 = 5
multiply by 700, to clear the denominators, resulting in:
14(2880 - p) + p + 700(5)
40320 - 13p = 3500
40320 - 14p + p = 3500
40320 - 3500 = 13p
36820 = 13p
p = 36820/13
p = 2832.3 km by plane
then
2880 - 2832.3 = 47.7 km by bus
:
:
See if that checks out, find the actual time of each
2832.3/700 = 4.046 hrs by plane
47.7/50 = .954 hrs by bus
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total time: 5hr