Aleena rides to her college on her cycle which takes her 20 mins to reach school which is at d km away from his house. One day, Aleena decides to go to Peter’s house. If she travels at the same rate, then what is the time taken, in minutes, by Aleena to reach to Peter’s house who stays p km away from Aleena’s house?

Home » GMAT Quant Questions » Aleena rides to her college on her cycle which takes her 20 mins to reach school which is at d km away from his house. One day, Aleena decides to go to Peter’s house. If she travels at the same rate, then what is the time taken, in minutes, by Aleena to reach to Peter’s house who stays p km away from Aleena’s house?

A. $\frac{20d}{p}$
B. $\frac{20p}{d}$
C. $\frac{pd}{20}$
D. $\frac{20}{pd}$
E. 20pd

Answer: B

Explanation:
Alan is traveling d km for 20 mins, hence rate is d/20,
Traveling at the same rate, he has to travel p miles,
Time taken= distance/speed = p/d/20
=20p/d

Answer choice: B