| 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? |
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
Correct Answer: D
Solution :
| The sum of their speed \[=\frac{645}{15}=43\,\,km/h\] |
| 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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