SOLUTION: a man travels from home to work 60 mph and arrives 1 hour early. He travels the same route later that day at 30 mph and reaches 1 hour later. what is the distance from home to work

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Question 982888: a man travels from home to work 60 mph and arrives 1 hour early. He travels the same route later that day at 30 mph and reaches 1 hour later. what is the distance from home to work ?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The sentence either answers the question or is wrong. I will proceed as if the "r" in "later" is wrong, and that the trip at 30 mph... 1 hour LATE.

VARIABLES
t, time for normal
t+1, normal time plus one hour
d, distance either way


______________________rate____________time__________distance
WORK__________________60______________t-1____________d
HOME__________________30______________t+1____________d


RT=D, both distances are equal,
highlight_green%2860%28t-1%29=30%28t%2B1%29%29
Use the value of t to get the distance, d.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
a man travels from home to work 60 mph and arrives 1 hour early. He travels the same route later that day at 30 mph and reaches 1 hour later. what is the distance from home to work ?
Let D be distance

D%2F60+%2B+1+=+D%2F30+-+1 

Solve this for D, the distance.