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A race car completes a lap on a 1600 m long track with an average speed of 250 km/h. If the car's average speed on the first half of the track was 210 km/h, what was its average speed on the second half?

Added Mon, 17 Aug '15

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The race car completes a track of 1600 m on an average speed of 250 km/hr

Average speed is computed as (total distance) / (total time)

Hence total time = total distance / average speed

= 1600 m / 250 km /hr

convert 1600 m = 1.6 km

total time = 1.6 / 250 = 0.0064 hr

Now the first half of the distance = 1.6 km /2 = 0.8 km is covered in 210 km/hr

so time taken in 1st half = 0.8 / 210 = 0.0038

then time taken in 2nd half = total time - time taken in 1st half

= 0.0064 - 0.0038 = 0.0026

then average speed in 2nd half = 0.8 / 0.0026 = 307.69 km/hr

Added Mon, 17 Aug '15

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