# Moderate Time, Speed & Distance Solved QuestionAptitude 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.

## (2) Comment(s)

Poorva Soni
()

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

Deepak
()

Thank you for pointing out the typo, corrected it.