Multiple choice

Two men undertake to drive a distance of $54$ km. The first performs the journey at $8$ km/hr. The second, starting half an hour later, arrives $15$ minutes sooner. Find the approximate ratio of the speeds of the first to the second person.

  1. $8 : 9$
  2. $8 : 5$
  3. $8 : 6$
  4. $6 : 9$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

First person time: 54/8 = 6.75 hours. Second person starts 0.5 hours later and arrives 0.25 hours earlier, so their travel time is 6.75 - 0.5 - 0.25 = 6 hours. Speed of second person = 54/6 = 9 km/hr. Ratio of speeds = 8:9.

AI explanation

Using Time = Distance / Speed, the first man takes 54 / 8 = 6.75 hours. The second man starts 0.5 hours later and finishes 0.25 hours sooner, so his total time is 6.75 - 0.5 - 0.25 = 6 hours. The speed of the second man is 54 / 6 = 9 km/hr, making the ratio of their speeds 8:9.

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