A and B participate in a 1 km race. The ratio of their speeds 9 : 10. A is given a handicap of 100
meters. What will be the distance between the two when the winner breasts the tape? /
Answers
Given : A and B participate in a 1 km race. The ratio of their speeds 9 : 10. A is given a handicap of 100 meters.
To find : What will be the distance between the two when the winner breasts the tape
Solution:
A and B participate in a 1 km race. The ratio of their speeds 9 : 10
in a given time if A covers 9 m then B covers 10 m
if A covers 1 m then B covers = 10/9 m
if A covers 900 m then B covers = 900 * 10/9 = 1000 m = 1 km
Now A is given a handicap of 100 meters.
=> When A covers 900 m then he has covered a distance of 100 + 900 = 1000 m = 1 km
This is exactly the same distance B will cover when A cover 900 m
Hence both will complete the race at the same time
distance between the two when the winner breasts the tape is ZERO
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