Multiple choice

A man covers a distance of 285 km. in 6 hr. First part of the journey he covers at the speed of 40 km/hr. by bus. Second part of the journey he covers at the speed of 55 km./hr. by train . What is the distance covered by train?

  1. 165 km.

  2. 615

  3. 561 km.

  4. 156 km.

  5. 180 km.
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A Correct answer
Explanation

Let bus distance = d km, train distance = (285-d) km. Bus time = d/40 hours, train time = (285-d)/55 hours. Total: d/40 + (285-d)/55 = 6. Solving: 55d + 40(285-d) = 6×40×55 = 13200. 55d + 11400 - 40d = 13200. 15d = 1800. d = 120 km (bus). Train distance = 285 - 120 = 165 km.

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