Aptitude Discussion

Q. |
In a kilometer race, If Abhishek gives Bharti a 40 m start, Abhishek wins by 19 sec. But if Abhishek gives Bharti a 30 sec start, Bharti wins by 40 m. Find the time taken by Bharti to run 5,000 m? |

✖ A. |
150 sec |

✖ B. |
450 sec |

✔ C. |
750 sec |

✖ D. |
825 sec |

**Solution:**

Option(**C**) is correct

If Abhishek takes $x$ seconds and Bharti takes $y$ seconds to run 1 km, then:

$⇒ y=150$ sec and $x=125$ sec

\(x+19=\dfrac{960y}{1000}\text{ and }\)

\(\dfrac{960x}{1000}+30=y\)

$⇒ y=150$ sec and $x=125$ sec

Answer \(=\dfrac{150}{1000}\times 500\)

= **750 sec**

**Preetham**

*()
*

how y=150 sec and x-125 sec..can u explain me his problem