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Solution: How far from C should he land if he can row at the rate of 6 kph and can walk at the rate of 7.5 kph

How far from C should he land if he can row at the rate of 6 kph and can walk at the rate of 7.5 kph?

Problem Statement: EE Board October 1993

A boatman is at A which is 4.5 km from the nearest point B on a straight shore BM. He wishes to reach in minimum time at point C situated on the shore 9 km from B. How far from C should he land if he can row at the rate of 6 kph and can walk at the rate of 7.5 kph.

  • A. 4.15 km
  • B. 3.0 km
  • C. 3.25 km
  • D. 4.0 km

Problem Answer:

The distance from B to C is 3.0 km

Solution:

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