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

Algebra ->  Rate-of-work-word-problems -> 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       Log On


   

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) About Me  (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 x%2F3 km.
Also, when he passes the store he has traveled 3x%2F4 km.
Then the distance between the bank and the store is 3x%2F4+-+x%2F3=5x%2F12 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 5x%2F12 km (distance between bank and store) in 10 minutes.
[Since time from 6:52 to 7:02 is 10 mins.]

Now, Jason travels 5x%2F12 km in 10 mins.
So, he travels 1 km in 10%2F%285x%2F12%29 = 24%2Fx mins.
or he travels x%2F2 km in %2824%2Fx%29%2A%28x%2F2%29 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.