Multiple choice

A man travels 404 kilometres partly by rail and steamer. He spends 10 hours more on steamer. If the speed of the steamer is 30 km/hr and the speed of rail is 50 km/hr, how much distance did he cover by steamer?

  1. 407 km

  2. 509 km

  3. 610 km

  4. 339 km
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let d1 be distance by rail, d2 by steamer. d1/50 + 10 = d2/30. d1+d2 = 404. d1 = 404-d2. (404-d2)/50 + 10 = d2/30. Multiply by 150: 3(404-d2) + 1500 = 5d2. 1212 - 3d2 + 1500 = 5d2. 2712 = 8d2. d2 = 339.

AI explanation

Let the distance covered by rail be x kilometers, making the steamer distance 404 minus x. Using the formula time equals distance divided by speed, the time difference is ((404 minus x) divided by 30) minus (x divided by 50) equals 10. Multiplying by 150 gives 2020 minus 5x minus 3x equals 1500. Solving 8x equals 520 gives x equals 65 km for the rail distance. The steamer distance is 404 minus 65, which is 339 km.

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