Banking
Sample Paper
IBPS PO (PT) Sample Test Paper-2
question_answer
The speed of a boat in still water is 16 km/hr and the speed of the current is 4 km/hr. It lakes a total of 7.5 hours to row upstream from Point P to Q and downstream from Point Q to R. If the distance between P and R is one-fifth the distance between Q and R then what is the distance between Q to R? (Where QR <PQ)
A) 97 km
B) 42.23 km
C) 84.46 km
D) 48.64 km
E) None of these
Correct Answer:
E
Solution :
Let the distance from Q to R be x km. \[\therefore \] P to \[R=\frac{x}{5}\] Upstream speed = 16 - 4 = 12 km/hr Downstream speed = 16 + 4 = 20 km/hr Now-\[\frac{6x}{5\times 12}+\frac{x}{20}=7.5\Rightarrow \frac{6x}{5\times 12}+\frac{x}{20}=7.5\]\[\Rightarrow \frac{x}{10}+\frac{x}{20}=7.5\Rightarrow 3x=7.5\times 20\] \[\therefore 50Km\]