1.Rajdhani express takes 3 hrs to cover 315 km. Shatabdi express takes 6 hours to cover the distance of 600 km. Find the speed of both the express trains. Which express train will cover the distance of 400 km in less time?

2.The odometer of can reads 10532.0 km at the start of journey and at end it reads 10850.0 km. If car takes 12 hour to complete its journey. Then calculate its average speed in km/hr, km/min and km/s.

(1)Speed of the rajdhani express = distance covered by rajdhani expresstime takenSpeedrajdhani = 3153 = 105  kmhSpeedshatabdi = distance covered by shatabdi expresstime takenSpeedshatabdi =6006 = 100  kmh The faster train will cover the distance of 400 km in less time ,i.e., the rajdhani express(2) Distance covered by the car = difference in reading of the odometerDistance = 10850-10532 = 318 kmAverage speedkmmin = Distancetime  = 31812=26.5 kmhAverage speedkmmin =Average speedkmmin60 = 0.4417 kmminAverage speedkmsec  = Average speedkmmin60 = 7.36×10-3 kmsec

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Speed of rajdhani = 315 ÷ 3 = 105 kmph.
speed of shatabdi = 600 ÷ 6 =100 kmph.
Therefore, rajdhani has more speed.
So, rajdhani will cover 400 km first.
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Answer 2:  Average Speed = Total distance/Total time taken
  
                  Journey started at = 10532 km
                  Journey end at = 10850 km 

                  Time taken = 12hours ( 12* 60= 720 min)
                   also, time = 128* 3600 sec =43200 sec

      1. Average speed in km/hr = 10850-10532/ 12 = 26.5 km/hr

      2. Average speed in km/min = 10850 - 10532/720 = 0.44 km/min

      3. Average speed in km/sec = 10850 - 10532 / 43200 = 7.36 * 10-3 km/sec

         
      Hope it helps!

 
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