Respuesta :
It would have taken 36 s for John to cover the distance.
Average speed is defined as the total distance travelled divided by the total time taken.
Average speed = Total distance / total time
To obtain the answer to the question, we'll begin by calculating the time taken to cover the distance (3150 m) in each case.
Case 1:
Average speed = 350 m/min
Total Distance = 3150 m
Time 1 =?
Average speed = Total distance / total time
350 = 3150 / Time 1
Cross multiply
350 × Time 1 = 3150
Divide both side by 350
Time 1 = 3150 / 350
Time 1 = 9 mins
Multiply by 60 to express in seconds
Time 1 = 9 × 60
Time 1 = 540 s
Case 2:
Average speed = 375 m/min
Total Distance = 3150 m
Time 2 =?
Average speed = Total distance / total time
375 = 3150 / Time 2
Cross multiply
375 × Time 2 = 3150
Divide both side by 375
Time 2 = 3150 / 375
Time 2 = 8.4 mins
Multiply by 60 to express in seconds
Time 2 = 8.4 × 60
Time 2 = 504 s
Finally, we shall determine how much sooner it would have taken John to travel at 375 m/min. This can be obtained as follow:
Time 1 = 540 s
Time 2 = 504 s
Difference in Time =?
Difference = Time 1 – Time 2
Difference in time = 540 – 504
Difference in time = 36 s
Therefore, it would have taken John 36 s if he had travelled at an average speed of 375 m/min.
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