In a linear race of 1000 m, A beats B by 50 m or 5 seconds. What is the difference between the speeds (in m/s) of A and B?
Answer & explanation
Correct answer: option 2
Formula speed :-
Speed = \(\frac{Distance }{Time}\)
According to question ,
A beats B by 50 m or 5 sec i.e B covers 50 m in 5 sec
Speed of B = \(\frac{50}{5}\) = 10 m/s
Time taken by B to cover 1000 m = \(\frac{1000}{10}\) = 100 sec
A beats B by 5 sec i.e. A reach 5 sec before B
Time taken by A = 100 – 5 = 95 sec
Speed of A = \(\frac{1000}{95}\) = \(\frac{200}{19}\) m/sec
Difference in speed of A and B = \(\frac{200}{19}\) - 10
= \(\frac{10}{19}\) m/sec