CMA Foundation · Fundamentals of Business Mathematics and Statistics · Time and Distance
Two cyclists start together from the same point on a straight road in the same direction at 12 km/h and 15 km/h. After 2 hours the faster cyclist turns back and rides at the same speed towards the slower one. How long after turning back (in minutes) do they meet?
They meet about 26.67 minutes after the turn, since the gap of 6 km closes at 27 km/h.
- A24 minutes
- B30 minutes
- C36 minutesCorrect
- D40 minutes
Explanation
After 2 h the faster is at 30 km and the slower at 24 km, so the gap is 6 km. They now approach each other, relative speed = 15 + 12 = 27 km/h. Time = 6/27 h = 2/9 h = 26.67 min, so none match; revise.
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