Foundation November 2019 Paper 3 Q17

OCRFoundationCurrent spec5 marksProperties of Numbers

17 Two model cars, A and B, are in a race.
They start together on the starting line.
Assume each car travels at a constant speed.

Car A takes 30 seconds to complete each lap of the track.
Car B takes a whole number of seconds to complete each lap of the track.
The two cars next cross the starting line together 150 seconds after the start of the race.

Find the four possible times that car B could take to complete one lap.

You may find this information helpful.

\(150 = 2 \times 3 \times 5 \times 5\)
\(30 = 2 \times 3 \times 5\)

[5]