Multiple choice

Two cyclists start from the same place to ride in the same direction. A starts at noon at the speed of 10 km/hr and B starts at 1:30 pm at the speed of 12 km/hr. How far will A have ridden before he is overtaken by B?

  1. 180 km

  2. 45 km

  3. 90 km

  4. 60 km

  5. 100 km

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

If A rides for X hrs before he is overtaken by B, then B rides for (X - 1.5) hrs. Therefore, 10X = 12(X - 1.5)

12 * 1.5 = 12X - 10X

12 * 1.5 = 2X

6 * 1.5 = X

X = 9.0

So, A will have ridden 10 * 9.0 = 90 km.

It is the correct answer.