Quantitative Aptitude Ques 2181

Question: A and B run a race of 1 km. A gives a start of 50 m and still beats him by 15 s. If A runs at 8 km/h, what is the speed of B?

Options:

A) 4.4 km/h

B) 5.4 km/h

C) 6.4 km/h

D) 7.4 km/h

Show Answer

Answer:

Correct Answer: D

Solution:

  • Total distance = 1000 m Speed of $ A=8,km/h=8\times \frac{5}{18}=\frac{20}{9}m/s $ Time taken by A to cover this distance $ =\frac{1000\times 9}{20}=450,s $ Now, time taken by B to cover 950 m, Total time $ =450+15=465s $

$ \therefore $ Speed $ =\frac{950}{450+15}=\frac{950}{465}\times \frac{18}{5}=7.3548\approx 7.4,km/h $

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