CRE 6 - Circular Race | Arithmetic - Time, Speed & Distance
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Four runners A, B, C and D are running around in a circle, 2430 meter in circumference, at 30 mpm, 24 mpm, 20 mpm and 12 mpm respectively. If they start at the same time from the same point in the same direction, when will they be together again?
- (a)
12 hours and 35 minutes
- (b)
10 hours and 30 minutes
- (c)
16 hours and 45 minutes
- (d)
20 hours and 15 minutes
- (e)
24 hours and 15 minutes
Solution
Discuss
ReportTwo runners are running on a circular track in the same direction. The speed of slower runner is 10 m/s and that of faster runner is 12 m/s. If they meet after 6 minutes for the first time, then what is the length of the track?
- (a)
600 m
- (b)
720 m
- (c)
800 m
- (d)
900 m
- (e)
200 m
Four runners A, B, C and D are running around in a circle, 1680 meter in circumference, at 8 mpm, 12 mpm, 16 mpm and 20 mpm respectively. If they start at the same time from the same point in the same direction, when will they be together again at the starting point for the first time?
- (a)
20 hours
- (b)
16 hours
- (c)
12 hours
- (d)
8 hours
- (e)
7 hours
Two cars running on a circular track, 96 meter in circumference meet after every 24 minutes when they are in the same direction. However, when they are in opposite directions, the faster car crosses the slower one every 8 minutes. Find the speeds of the cars.
- (a)
12 mpm and 8 mpm
- (b)
8 mpm and 4 mpm
- (c)
4 mpm and 2 mpm
- (d)
16 mpm and 10 mpm
- (e)
20 mpm and 10 mpm
Aakash and Bikash are running on a 1000 m circular track. Their speeds are 16 km/hr and 10 km/hr, respectively. After what time will they meet for the first time at the starting point if they start simultaneously?
- (a)
60 minutes
- (b)
45 minutes
- (c)
30 minutes
- (d)
20 minutes
- (e)
15 minutes
Two men are running in the same direction along a circle. They meet for the first time at a point diametrically opposite the starting point, when the faster one is in his fourth round. Find the ratio of their speeds.
- (a)
4 : 5
- (b)
7 : 6
- (c)
6 : 5
- (d)
7 : 5
- (e)
None of these
Three men A, B and C go around a circle, 3520 metres in circumference, at the speeds of 320, 240 and 210 metres per minute, respectively. If they all start together, after what time will they meet again?
- (a)
4 hours 35 minutes
- (b)
5 hours 52 minutes
- (c)
6 hours 24 minutes
- (d)
1 hour 16 minutes
- (e)
3 hours 25 minutes
Three runners A, B and C are running around a circular track. The ratio of their speeds is 3 : 4 : 5. They meet exactly 12th time at the end of an hour at the starting point. A covers 9840 m less distance than C in 1 hour.
What is the distance travelled by B in 1 hour?
- (a)
19840 m
- (b)
19680 m
- (c)
19920 m
- (d)
18920 m
- (e)
None of these
A and B are running along a circular track in opposite directions. They meet at a point 900 m from the starting point and continue running. They now meet again at a point 600 m from the starting point, but in the opposite direction to before. What is the length of the track?
- (a)
2400 m
- (b)
1300 m
- (c)
1400 m
- (d)
1600 m
A and B are running around a 40 km circle at respective speeds of 16 kmph and 20 kmph. The number of distinct meeting points for A and B when they run in same direction is x and when they run in opposite directions is y. Find x + y