In a 1600 m race, A beats B by 80 m and C by 60 m. If they run at the same time then by what distance will C beat B in a 400 m race?
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Answer:
Assume A takes t seconds to finish the race.
Since A beat B by 80m, B travelled 1600m - 80m = 1520m in t seconds.
Similarly, C travelled 1600m - 60m = 1540m in t seconds.
Speed of A × t = 1600m
Speed of B × t = 1520m
Speed of C × t = 1540m
For the 400m race, assume time taken by A = t' seconds
Speed of A × t' = 400m = 1600 / 4 ( writing 400 as 1600 / 4 )
Speed of A × t' = (Speed of A × t ) / 4
t' = t / 4
Distance travelled by B in 400m race = Speed of B × t' = Speed of B × t / 4 = 1520 / 4 = 380
Distance travelled by C in 400m race = Speed of C × t' = Speed of C × t / 4 = 1540 / 4 = 385
So, distance between B and C in 400m race = 385 - 380 = 5m
Step-by-step explanation:
If A beats B by 80m and C by 60m, then C beats B by 20m in a 1600m race.
Then in a 400m race C can defeat B by 5m
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