SOLUTION: A man driving his car at a certain speed from his home will reach his office in 6 hours. If he increased his speed by 24 kph, he would have reached his offce 1 hour less. Find the

Question 984629: A man driving his car at a certain speed from his home will reach his office in 6 hours. If he increased his speed by 24 kph, he would have reached his offce 1 hour less. Find the distance of his office from his home.
Found 2 solutions by Alan3354, macston:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A man driving his car at a certain speed from his home will reach his office in 6 hours. If he increased his speed by 24 kph, he would have reached his offce 1 hour less. Find the distance of his office from his home.
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d = 6*r = 5*(r+24)
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Solve for r, then for d

Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
D=distance; R=original rate; T=original time
.
Originally:
D=RT=R(6hrs)=6R hrs
.
After speed increase:
D=(R+24kph)(6hrs-1hr)=(R+24kph)(5hrs)=5R hrs+120k
.
Since distance to office is the same:
6R hrs=5R hrs +120k
R hrs=120k
R=120k/hr
His original speed was 120 kph.
.
(6hrs)(120kph)=720 km
The distance to his office was 720 kilometers.
.
CHECK:
720km=(R+24kph)(6hrs-1hr)
720km=120kph+24kph)(5 hrs)
720km=(144kph)(5hrs)
720km=720km
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