Quantitative Aptitude Ques 1428

Question: Soniya and Priyanka started from Amethi and Bellari for Bellari and Amethi, which are 645 km apart. They meet after 15 h. After their meeting, Sonia increased her speed by 3 km/h and Priyanka reduced her speed by 3 km/h. They arrived at Bellari and Amethi, respectively at the same time. What is their initial speeds?

Options:

A) 24 km/h and 30 km/h

B) 25 km/h and 18 km/h

C) 18 km/h and 21 km/h

D) 20 km/h and 23 km/h

Show Answer

Answer:

Correct Answer: D

Solution:

  • The sum of their speed $ =\frac{645}{15}=43km/h $ Since, they are actually exchanging their speed only, then they can arrive at the same time at their respective destinations. It means the difference in speed is 3 km/h.

$ \therefore $ $ x+(x+3)=43 $ So, $ x=20 $ and $ x+3=23 $

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