## Race track (circular track) math word problems

##### Basic D = R * T

A racetrack measures 9 miles long. If an automobile completes the track in exactly 4 minutes, what is its average rate of speed, in miles per hour?

A Race track is one mile long, if a driver goes around once at 30 miles per hour, how fast must he drive in the second lap to average sixty miles per hour over both laps?

##### When will they meet and where will they meet – 2 participants?

Two dogs run around a circular track 300 feet long. Fido runs at a steady rate of 15 feet per second. The other dog, Max, runs at a steady rate of 12 feet per second. Assume they start at the same time and point on the track. When will they first meet? How long before they meet at the starting point? (see solution)

Nadine and Shelly do warm up exercises and are jogging on a circular track. Nadine is a better athlete and jogs at 18 km/hr, while Shelly jogs at 9 km/hr. The circumference of the track is 500 m. They start from the same point and in the same direction. When will they be together again for the first time?

##### When will they meet and where will they meet – 3 participants?

A, B and C run around a circular track of length 1200 m with respective speeds 9, 18, 27 kph. If they started at the same time from the same point and run in the same direction when will they meet for the first time?

A and B run a race with their speeds in the ratio of 5:3. They prefer to run on a circular track of circumference 1.5 km. What is the distance covered by A when he passes B for the seventh time?

Two runners race around a circular track, with a 300 ft radius, in opposite directions, from the same starting point. Tom averages 8/mph and Bob averages 12 mph. How far has Bob run before he meets Tom?

A, B, and C start at the same time, and in the same direction, to run
around a circular course. A makes it in 252 seconds, B in 308 seconds,
C in 198 seconds. At what time will three of them reach the starting point and how many
courses would each have completed by that time?

A man runs around a circular track with a radius of 65 m at speed of 15km/hr. Calculate the time in seconds it will take to circle the track once.

A and B walk around a circular track they start at 8 am from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 round per hour respectively how many times shall they cross each other before 9.30 am?

In a circular race of 1200 m, A and B start from the same point and at the same time with speeds of 27kph and 45 kph. Find when will they meet again for the first time on the trace when they are running in the same direction and Opposite direction?

In a circular race of 1200 m length, A and B start with speeds of 18 kph and 27 kph starting at the same time from the same point. When will they meet for the first time at the starting point when running in the same direction and opposite direction?

A can run one full round of a circular track in 6 min and B in 15 min. If both A and B start simultaneously from the same starting point then How many times would they met in the time B has completed 10 rounds when running in same direction, and In opposite direction?

A and B walk around a circular path of 900 meter in circumference, starting together from the same point in the same direction. If their speeds are 150 meter per minute and 200 meter per minute respectively, after how many minutes will they be again at the starting point?

##### How long is the track

Jan can run at 7.5m/s and Mary at 8.0m/s. On a race track Jan is given a 25m head start, and the race ends in a tie. How long is the track?