Question

01
ADVANCED APTITUDE
Brinda and Shanti run in opposite direction on a circular track starting at diametrically opposite points. They first
meet after Brinda has run 100 meters. They next meet after Shanti has run 150 meters past their first meeting point.
Each girl runs at a constant speed. What is the length of the track in meters?
300
250
0
350
270
0​

Answer 1

length of track is 350m

Answer 2

Answer:

The length of the track is 350 m

Step-by-step explanation:

Step 1:

Given data: The length of the race track be x:

Step 2: When they meet at the first meeting point, Brenda has run   meters, while Sally has run (x/2-100) meters.

Step 3: By the second meeting point, Sally has run   meters, while Brenda has run  meters.

Step 4:

Since they run at a constant speed,  

(100)/x-150 = (x/2-100)/150.  

(150x100)=(x-150) (x/2-100)

Step 5:

Cross-multiplying,  

We get that the value of x=350.