Question

In a race of 800 m, A can beat B by 80 m and in a race of 600 m, B can beat C by 60 m. By how many metres will A beat C in a race of 400 m?​

Answer 1

When A covers distance of 800 m, B covers distance of (800 – 80) = 720 m ⇒ Speed of A : Speed of B = 800:720 = 10:9 Also, when B covers distance of 600 m, C covers distance of (600 – 60) = 540 m ⇒ Speed of B : Speed of C = 600:540 = 10:9 ⇒ Speed A : Speed B : Speed C = 100 : 90 : 81 ⇒ in 100 m race, A can beat C by (100 – 81) = 19 m ⇒ in 400 m race, A can beat C by 19 × 4 = 76 m

Answer 2

Answer:

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Step-by-step explanation:

=> When A covers distance of 800 m,

=> B covers distance of (800 – 80) = 720 m

⇒ Speed of A : Speed of B = 800:720 = 10:9

Also,

=> when B covers distance of 600 m,

=> C covers distance of (600 – 60) = 540 m

⇒ Speed of B : Speed of C = 600:540 = 10:9

⇒ Speed A : Speed B : Speed C = 100 : 90 : 81

⇒ in 100 m race, A can beat C by (100 – 81) = 19 m

⇒ in 400 m race, A can beat C by 19 × 4 = 76 m

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