SOLUTION: Each day, Jason walks to his office at a constant rate. One-third of the way he passes a bank and three-fourths of the way to work he passes a store. At the bank his watch reads

Question 41861: Each day, Jason walks to his office at a constant rate. One-third of the way he passes a bank and three-fourths of the way to work he passes a store. At the bank his watch reads 6:52am and at the store it reads 7:02am. At what time was Jason halfway to his office.
Thanks for any help I don't know where to start.
Answer by psbhowmick(878) (Show Source): You can put this solution on YOUR website!
Let us suppose that the distance of the office from his starting is 'x' km.
Therefore, when Jason passes the bank he has traveled km.
Also, when he passes the store he has traveled km.
Then the distance between the bank and the store is km.

When Jason passes the bank, time is 6:52 am and when he passes the store the time is 7:02 am.
Therefore, he traveled this km (distance between bank and store) in 10 minutes.
[Since time from 6:52 to 7:02 is 10 mins.]

Now, Jason travels km in 10 mins.
So, he travels km in = mins.
or he travels km in mins = 12 mins.

So, Jason travels half the distance to his office in 12 mins or in other words is halfway on his walk to office in 12 mins.
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