91Ó°ÊÓ

In a kilometre race, \(A\) can give B a start of \(20 \mathrm{~m}\) and also in a half kilometre race \(\mathrm{C}\) beats \(\mathrm{A}\) by \(50 \mathrm{~m} .\) \(B\) and \(C\) run a half \(\mathrm{km}\) race, who should give a start to the slower runner and of how many metres so that they both finish the race at the same time? (a) \(C, 59 \mathrm{~m}\) (b) B, \(34 \mathrm{~m}\) (c) C, \(48 \mathrm{~m}\) (d) \(B, 56 \mathrm{~m}\)

In a 1000 metres race Ravi gives Vinod a start of \(40 \mathrm{~m}\) and beats him by 19 seconds. If Ravi gives a start of 30 seconds then Vinod beats Ravi by \(40 \mathrm{~m}\). What is the ratio of speed of Ravi to that of Vinod? (a) \(4: 5\) (b) \(6: 5\) (c) \(3: 8\) (d) \(5: 4\)

In a race, the man who came two places ahead of the last man finished one place ahead of the man who came three places behind the man just ahead of the one who stood second. How many men finished the race? (a) 6 (b) 5 (c) 4 (d) 8

In a \(600 \mathrm{~m}\) race Prabhat has a start of \(200 \mathrm{~m}\) and the ratio of speeds of Prabhat and Nishith is \(4: 5\), then the distance by which Prebhat wins by : (a) \(100 \mathrm{~m}\) (b) \(80 \mathrm{~m}\) (c) \(120 \mathrm{~m}\) (d) none of these

The relative speed of minute-hand with respect to hour-hand is : (a) \(\left(5 \frac{1}{2}\right)^{\circ}\) per minute (b) \(\left(\frac{11}{12}\right)\) minute per minute (c) \(6^{\text {" per minute }}\) (d) both (a) and (b)