Time, Speed & Distance
Aptitude

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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

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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.