IMO Mathematics Olympiad Class 10: Questions 568  571 of 908
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Question number: 568
Question
A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they meet again at the starting point?
Choices
Choice (4)  Response  

a.  26 minutes 18 seconds 

b.  42 minutes 36 seconds 

c.  46 minutes 12 seconds 

d.  45 minutes 

Question number: 569
Question
P, Q and R start at the same time in the same direction to run around a circular stadium. P completes a round in 200 seconds, Q in 100 seconds and R in 300 seconds, all starting at the same point. After what time will they meet again at the starting point?
Choices
Choice (4)  Response  

a.  30 minutes 

b.  10 minutes 

c.  16 minutes 

d.  20 minutes 

Question number: 570
Question
Walking at threefourths of his usual speed a man covers a certain distance in two hours than the time he takes to cover the distance at his usual speed. The time taken by him to cover the distance with his usual speed is ________
Choices
Choice (4)  Response  

a.  4.5 hours 

b.  6 hours 

c.  5.5 hours 

d.  5 hours 

Question number: 571
Question
The ratio between the ages of Dipti and Cristal at present is . Three years hence the ratio of their ages will be . What is the present age of Cristal?
Choices
Choice (4)  Response  

a.  28 years 

b.  27 years 

c.  24 years 

d.  26 years 
