Multiple choice

Brown starts 2 hours after John and overtakes him in 4 hours. If the difference between the speeds of John and Brown is 20 kmph, what is the distance travelled by Brown before meeting John?

  1. 60 km

  2. 160 km

  3. 240 km

  4. 320 km

  5. None of these

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let John's speed be v. Brown's speed is v + 20. John travels for 4 + 2 = 6 hours. Brown travels for 4 hours. Distance = 6v = 4(v + 20). 6v = 4v + 80. 2v = 80, v = 40. Distance = 6 * 40 = 240 km.

AI explanation

Let Brown's speed be v kmph, making John's speed (v - 20) kmph. When Brown travels for 4 hours, John travels for 6 hours because he started 2 hours earlier. Equating their distances gives 4v = 6(v - 20), which solves to v = 60 kmph. The distance travelled by Brown is 60 kmph times 4 hours, which equals 240 km. The result is 240 km.