Plss answer my question, urgent, I will mark u as brainliest.. Plssss
Answers
The distance traveled by him is:
:
Let r = the rate the man walked
then
(r+.5) = 1 hr less rate
and
(r-1) = 3 hr more rate
:
:
let t = time he actually walked
then
(t-1) = time at the faster rate
and
(t+3) = time at the slower rate
:
distance for all three situations is the same (dist = rate * time):
;
actual dist = faster time dist
rt = (r+.5)(t-1)
rt = rt - r + .5t - .5
rt - rt + r - .5t = -.5
r - .5t = -.5
:
actual dist = slower time dist
rt = (r-1)(t+3)
rt = rt + 3r -t - 3
rt - rt - 3r + t = -3
-3r + t = -3
:
multiply the 1st equation by 2 and add to the above equation
2r - t = -1
-3r + t = -3
---------------eliminates t
-r = -4
r = 4 km/h is the actual walking rate
:
Find t using: r -.5t = -.5
4 - .5t = -.5
-.5t = -.5 - 4
-.5t = - 4.5
Multiply eq by -2
t = 9 hrs actual time
:
Dist = r*t
4 * 9 = 36 km
:
:
see if this is true; find the time of each scenario
36/4.5 = 8 hrs (1h less)
36/3 = 12 hrs (3hr more)
hope this helped u
BRAINLIEST
PLS
HOPE IT IS CORRECT I AM NOT SURE BUT SEEMS GOOD
speed of person was 4kmph and he travelled the distance of 28km