Two swimmers Ram and Gita participate in a contest of swimming. Both started from point A. Speed of Ram is 10 km/hr and Speed of Gita is 12 km/hr. After 2 hours of swimming. Gita feels fatigue due to that speed of Gita decreased 1 km/30min.Ram feel that I lose the contest and he increases his speed 1 km/hr. The contest is 60 km. Then who will win the contest?
Two swimmers Ram and Gita participate in a contest of swimming. Both started from point A. Speed of Ram is 10 km/hr and Speed of Gita is 12 km/hr. After 2 hours of swimming. Gita feels fatigue due to that speed of Gita decreased 1 km/30min.Ram feel that I lose the contest and he increases his speed 1 km/hr. The contest is 60 km. Then who will win the contest? Correct Answer Gita
Given:
Total distance = 60 km
Speed of Ram = 10 km/hr
Speed of Gita = 12 km/hr
Formula used:
Speed = Distance/time
Calculations:
Distance covered by Ram in 2 hours = 10 × 2 = 20 km
Distance travelled by Gita in 2 hours = 15 × 2 = 30 km
Ram’s speed increases by 1 km/hr
In 3rd hour Ram covered = 11 km
In 4th hour Ram covers = 12 km
In 5th hour Ram covers = 13 km
Total distance covered by Ram = 20 + 11 + 12 + 13 = 56 km
Time taken to cover rest distance = (60 -56)/14 = 4/14 = 2/7 hours
Total times taken by Ram to arrive the destination = (5 + 2/7) hr
Distance covered by Gita in (5 + 2/7) hours
In 3rd hour distance covered by Gita = 13 km
In 4th hour Distance covered by Gita = 11 km
In 5th hour time taken by Gita = (60 -54)/10 = 6/10 = 3/5
Total time taken by Gita = (4 + 3/5) hours.
Hence, Gita wins the contest.