Respuesta :

Answer:

36

Explanation:

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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