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16 Apr 2021 : Train & Speed

A train travels 50 km. distance with speed 50 km./hrs and next 50 km. with speed 60 km./hrs. Average speed will be

OPtion

1) 52
2) 50
3) 60
4) 54
5) 55
6) 54.54
7) 55.5
8) 110
9) 27.27
10) None of the above

Solution

Total distance travelled = 100 km.
Total time taken = (50/50) + (50/60) hrs = 11/6 hrs
so average speed = 100/(11/6) = 600/11 = 54.54

Correct Option: 6 Best Solution (3)

Best user's solution

Varun

50 km at 50kmph => 1 hour
50 km at 60kmph =>
60 km 1 hour
50 km ? hour
? = 50/60 = 0.833

Avg. speed = Total distance/Total time
= (50+50)/(1+5/6)
= 100/(11/6)
= 600/11 = 54.54 kmph
= Option (6)

Is this solution helpfull? Yes | No   

Billal Hossain

First 50 km goes at speed 50km/hr=1 hr
Next, 50 km goes at speed 60km/hr=0.8333333
Therefore, average speed =(50+50)/(1+0.8333333)
=54.54
So, my option is (6)

Is this solution helpfull? Yes | No   

G.S.Kantharao

First 50Km with a speed of 50Kmph
Next 50 with a speed of 60Kmph
Time taken to travel 100=50/50+50/60=1&5/6hr
Average speed =D/T=100/(11/6)=600/11
=54.54kmph
My option is 6👈

Is this solution helpfull? Yes | No