The average speed of a train is 20% less on the return journey than on onward journey. The train halts for half an hour at the destination station before starting on the return journey. If the total time taken for the to and fro journey is 23 hours, covering a distance of 1000 km, the speed of the train on the return journey is:
A. 60 km/hr
B. 50 km/hr
C. 40 km/hr
D. 55 km/hr
Answer: Option C
Solution(By Examveda Team)
Train was halted for half an hour So, total time taken in Journey = 23 - $$\frac{1}{2}$$ = 22.5 hours Average speed in Whole Journey = $$\frac{{1000}}{{22.5}}$$ = 44.5 km/hr The average speed on return journey is 20% less than onward journey. Therefore, ratio of average speed of onward and return journey, $$\eqalign{ & = \frac{{100}}{{80}} \cr & = \frac{5}{4} \cr} $$ Let average speed of onward journey = 5x Average speed on return journey = 4x Average speed on whole journey = $$\frac{{5x + 4x}}{2}$$ 44.5 = $$\frac{{5x + 4x}}{2}$$ 89 = 9x x = 9.88 Average speed on return= 9.88 × 4
= 39.52
= 40 km/hr (Approx.)
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Comments ( 4 )
Related Questions on Speed Time and Distance
A. 48 min.
B. 60 min.
C. 42 min.
D. 62 min.
E. 66 min.
A. 262.4 km
B. 260 km
C. 283.33 km
D. 275 km
E. None of these
A. 4 hours
B. 4 hours 30 min.
C. 4 hours 45 min.
D. 5 hours
Up Speed : Return Speed = Return time : Up Time
5 : 4 = Return time : Up Time
Total time = (5+4) = 9 unit = 22.5 hours [as halt is 30 minutes]
so, 1 unit = 2.5
Return time = 5 unit = 12.5
Speed = 500/12.5= 40 km/hr [as both side journey distance is 1000 km, so one side is 500 km]
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