Aptitude Discussion

Q. |
If a man cycles at 10 km/hr, then he arrives at a certain place at 1 p.m. If he cycles at 15 km/hr, he will arrive at the same place at 11 a.m. At what speed must he cycle to get there at noon? |

✖ A. |
11 km/hr |

✔ B. |
12 km/hr |

✖ C. |
13 km/hr |

✖ D. |
14 km/hr |

**Solution:**

Option(**B**) is correct

When speed of the man = 10 km/hr

\(=\dfrac{d}{t}\) and,

When speed of the man = 15 km/hr

\(=\dfrac{d}{t-2}\)

Equating the value of $d$:

$10\times t=15\times (t–2)$

$⇒ t= 6$ hours.

Finally desired speed

\(=\dfrac{d}{t-1}\)

\(=\dfrac{10t}{t-1}\)

\(=\dfrac{10\times 6}{5}\)

= **12 km/hr**

**Edit:** A typo has been corrected in the solution after it was pointed out by **Poorva Soni.**

**Poorva Soni**

*()
*

Thank you for pointing out the typo, corrected it.

It should be $\dfrac{10 \times 6}{5}$.