SOLUTION: John was travelling from town A to town B at a uniform speed. He drove past Jim who was travelling at a uniform speed of 84 km/h in the opposite direction.1.5 hours later John reac
Algebra ->
Finance
-> SOLUTION: John was travelling from town A to town B at a uniform speed. He drove past Jim who was travelling at a uniform speed of 84 km/h in the opposite direction.1.5 hours later John reac
Log On
Question 1163871: John was travelling from town A to town B at a uniform speed. He drove past Jim who was travelling at a uniform speed of 84 km/h in the opposite direction.1.5 hours later John reached town B while Jim was still 39 km away from town A. If John took 4 hours to travel from town A to town B, what was the distance between the two towns..??
You can divide the distance between the two towns into 3 pieces. The first piece from A to the point where they met took Jim 1.5 hours to cover at 84 km/h, so that distance must be 1.5 times 84, or 126 km. The next piece we don't know yet, that is the distance John traveled in the 1.5 hours after they passed each other, and the last piece is the 39 km John still had to travel 1.5 hours after they passed.
That means the total distance between the two towns is 126 km plus 39 km plus x km. Or 165 + x. John traveled that distance in 4 hours, but he traveled the x part in 1.5 hours, so he must have taken 2.5 hours to travel the 165 km part. That means he was traveling at 165 divided by 2.5 = 66 km/h. 66 km/h for 4 hours is 264 km, the total distance between the two towns.
John
My calculator said it, I believe it, that settles it
