In a 800 meter race, A covers 800 meter while B cover 760 meter.
∴ A covers 200 m while B will cover 760 x 200 / 800 = 190 m

Correct Option: B

In a 800 meter race, A covers 800 meter while B cover 760 meter.
∴ A covers 200 m while B will cover 760 x 200 / 800 = 190 m
Again, B covers 500 m while C 495 m
∴ B covers 190 m while C will cover = 495 x 190 / 500 = 188.10 m
Since, A covers 200 m while C 188.10 m
Hence, A will beat C by (200 – 188.10) = 11.9 m

Distance = (AB + BC) = 2L = 16 x 1/2 = 8 km
∴ L = 8/2 = 4 km

Correct Option: D

Distance = (AB + BC) = 2L = 16 x 1/2 = 8 km
∴ L = 8/2 = 4 km
∴ Area of the field = 4 x 4 = 16 sq km.

Time taken by A to cover 200 m = 200/2 = 100 s
∴ B covers (200 - 10) = 190 m in (100 + 5) = 105 s

Correct Option: A

Time taken by A to cover 200 m = 200/2 = 100 s
∴ B covers (200 - 10) = 190 m in (100 + 5) = 105 s
∴ B' s speed = 190/105 = 38/21 = 1¹⁷/₂₁ m/s

Ratio of the speeds of A and B = 5 : 3
Thus, in a race of 5 m, A gains 2 m over B.

Correct Option: C

Ratio of the speeds of A and B = 5 : 3
Thus, in a race of 5m, A gains 2 m over B.
2 m are gained by A in a race of 5 m.
40 m will be gained by A in a race of (5/2) x 40 m = 100 m
∴ Winning post is 100 m away from the starting point.

Speed of P : Speed of Q = 5 : 4
Time taken by P to cover 5 rounds = Time taken by Q to cover 4 rounds
Distance covered by P in 5 rounds = 5 x (800/1000) = 4 km
Distance covered by Q in 4 rounds = 4 x (800/1000) = 16/5 km

Correct Option: C

Speed of P : Speed of Q = 5 : 4
Time taken by P to cover 5 rounds = Time taken by Q to cover 4 rounds
Distance covered by P in 5 rounds = 5 x (800/1000) = 4 km
Distance covered by Q in 4 rounds = 4 x (800/1000) = 16/5 km

In 5 rounds, P will overtake Q every time. It means that after covering 4 km, P will overtake Q one time .
∴ After covering 10 km P will overtake Q, = (1/4) x 10 = 2¹/₂ times