Multiple choice

A man travels from Point P to Q with 90 km/hr and from Q to R with 60 km/hr. Total distance between P to R is 200 km. If his average speed is 75 km/hr then find the distance between P and Q?

  1. 76

  2. 79

  3. 120

  4. 34

  5. 52
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let d be the distance from P to Q, so 200-d is the distance from Q to R. The total time is d/90 + (200-d)/60 = 200/75. Solving this equation, d/90 + (200-d)/60 = 8/3 leads to 2d + 3(200-d) = 480, which simplifies to 600-d = 480, so d = 120.

Keep practicing — related questions