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