Tuesday

September 16, 2014

September 16, 2014

Posted by **Raz** on Sunday, September 22, 2013 at 5:07pm.

Note:

The racetrack is 'circular' in the sense that the start and end points are the same, and the cars are running laps around the racetrack at a constant speed.

- Math -
**Steve**, Sunday, September 22, 2013 at 6:41pmIf the track has circumference c miles, then and the car's speeds are x and y mi/s, then since time = distance/speed,

In the same direction, the slow car has a "lead" of 1 mile which the faster car has to make up.

1/(y-x) = 120

1/(x+y) = 30

120(y-x) = 30(x+y)

120y-120x = 30x+30y

90y = 150x

y = 5/3 x

1/(x + 5/3 x) = 30

8/3 x * 30 = 1

80x = 1

x = 1/80 mi/sec = 45 mph

y = 75 mph

**Answer this Question**

**Related Questions**

Math - Two cars run at constant speeds around a one-mile racetrack. The faster ...

math - Two race cars are speeding around the racetrack at different speeds. One ...

physics - Two race cars are speeding around the racetrack at different speeds. ...

Physics - Two cars travel in the same direction along a straight highway, on at ...

Physics - Two cars travel westward along a straight highway, one at a constant ...

physics - HI. Can someone please help me with this question. Two identical cars ...

Physics - Need Help with physics! Two cars drive on a straight highway. At time ...

physics - Two cars start from rest at the same location and at the same instant ...

Physics . pls help me :) - Two train cars are on a straight, horizontal track. ...

physics - Please decide which of the following statements for car collisions are...