Race and Games

Q 5: A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat? A)100m B)150m C)200m D)None of these Answer : Option A Explanation: A can give B (5 min - 4 1/2 min) = 30 sec start. The distance covered by B in 5 min = 1000 m. Distance covered in 30 sec = (1000 * 30)/300 = 100 m. A can give B 100 m start. Q 6:In a 1 km race, A beats B by 20 meters in 5 sec. Find A's time over the course? A)3min , 5 sec B)5 min , 2 sec C)4 min , 5 sec D)None of these Answer : Option C Explanation: B covers 20 meters in 5 sec. So, B's time over the course = (5/20)x 1000=250 sec. Whereas A's time over the course = 250 -5 = 245 sec. i.e A's time over the course is 4 min , 5 sec. Q 7: In a race of 1000 meters, A can beat B by 200 meters, in a race of 900 meters, B can beat C by 100 meters. By how many meters will A beat C in a race of 600 meters? A)188.89 meters B)258.80 meters C)288.89 meters D)None of these Answer : Option C Explanation: When A runs 1000 meters, B runs 800 meters when B runs 900 meters, C runs 800 meters. Therefore, when B runs 800 meters, the distance that C runs = (800 x 800)/900 = 6400/9 = 711.11 meters. So, in a race of 1000 meters, A beats C by (1000 - 711.11) = 288.89 meters to C. So, in a race of 600 meters, the number of meters by Which A beats C = (600 x 212.5)/1000 = 127.5 meters. Q 8: In 500 m race, A covers the distance in 30 seconds and B in 40 seconds. In this race A beats B by: A)125 meters B)155 meters C)140 meters D)135 meters Answer : Option A Explanation: Distance covered by B in 10 sec. =(500/40)x 10=125 m A beats B by 125 meters.

« 1 2 3 »