The time taken by a boat to travel a distance downstream is half the time taken by it to travel the same distance upstream. What is the speed of the boat downstream if it travels 7.5 km upstream in 1 hour 30 min ? (in km/hr)


A) 7.5

B) 5

C) 9

D) 10

E) None of these

Correct Answer:
D) 10

Description for Correct answer:
Time taken by boat in upstream =\( \large 1 \frac{1}{2} = \frac{3}{2}hr \)

Time taken by boat in downstream,\( \large = \frac{3}{2}\times\frac{1}{2} = \frac{3}{4}hr \)

Speed of boat in downstream = \( \large\frac{7.5 \times 4}{3} = 10km/h \)

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