a train travels half of its journey with a speed of 30 m/s and other half with a speed of 40 m/s. Calculate its average speed
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HERE IS YOURS SOLUTION
◆ Let the total distance it covers be 2x
Time taken to cover the first half of distance t1 = x/30
Time taken to cover the next half of distance t2 = x/40
Total time taken = t1 + t2
= x/30 + x/40
= 7x/120
Average speed = total distance/total time taken
= 2x/(7x/120)
= 240/7 ms-1
= 34.3 m/s
★ So, the average speed of the train throughout it's journey is 34.3 M/S ★
HOPE IT HELPS
◆ Let the total distance it covers be 2x
Time taken to cover the first half of distance t1 = x/30
Time taken to cover the next half of distance t2 = x/40
Total time taken = t1 + t2
= x/30 + x/40
= 7x/120
Average speed = total distance/total time taken
= 2x/(7x/120)
= 240/7 ms-1
= 34.3 m/s
★ So, the average speed of the train throughout it's journey is 34.3 M/S ★
HOPE IT HELPS
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