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saul85 [17]
3 years ago
9

A car covered a certain distance at a speed of 24 mph. While returning, the car covered the same distance at a speed of 16 mph.

What was the average speed of the car for the entire journey?
please healp
Mathematics
1 answer:
anyanavicka [17]3 years ago
4 0

Answer:

(96/5) mph, or 19.2 mph

Step-by-step explanation:

Average speed = (total distance traveled) / (total time elapsed)

Here we need to calculate the two elapsed times (going and returning)

Going:  t1 = d/(24 mph)

Returning:  t2 = d/(16 mph)

Less time is required for the outward bound trip.

                                                                            16d + 24d

Total time elapsed:  t = t1 + t2 = d/24 + d/16 = ------------------- = (5/48)*d hr

                                                                                 16*24

Thus, the average speed is (total distance traveled) / (total elapsed time)

                         

                                2d

which here is --------------------- = (96/5) mph, or 19.2 mph

                             (5/48)d

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