Two locations A and B are at diametrically opposite ends of a circular track. Rekha starts running along the track from location A in the clockwise direction. Sajal starts running simultaneously…
Question and options
Two locations A and B are at diametrically opposite ends of a circular track. Rekha starts running along the track from location A in the clockwise direction. Sajal starts running simultaneously along the track in the anticlockwise direction from location B. If the length of the circular track is 14 km, and the speeds of Rekha and Sajal are in the ratio 5: 2, then the distance, in km, travelled by Rekha, when they meet at location B for the first time, is
- 7
- 35
- 21
- 49
Answer and explanation
Correct answer: B - 35
Speeds 5:2 (units). Rekha is at B after 7 + 14k km, Sajal after 14j km, at the same time: 5*(14j)/2 = 7 + 14k gives 35j = 7 + 14k, i.e. 5j = 1 + 2k. Smallest j = 1, k = 2: Rekha has run 35 km.
Practice for these exams
-
IPMAT Indore
Related question papers
Related exam syllabi
More solved explanations in Arithmetic
- Let \(a, b, c\) be real numbers greater than 1, and \(n\) be a positive real number not equal to 1. If \(log_n(log_2a) = 1; log_n(log_2b) = 2\) and \(log_n(log_2c)…
- If \((a, b) * (c, d) = (a + d) - (c / b)\), then \((2, 1) * (3, 4)\) is:
- A water tank has eight pipes fitted into it. Pipes are of two types: Green Pipe and Red Pipe. Green pipes are used to fill the tank and the Red pipes are used to…
- The side AB of a triangle ABC is c. The median BD is of length k. If \(\angle BDA = \theta\) and \(\theta < 90^\circ\), then the area of triangle ABC is
- Which of the following is a false statement :