Speeding Away

Q. The drive from Oakland to Pinewood was a tricky one. I covered the uphill distance of 55 miles at 42 miles per hour. The return journey from Pinewood to Oakland was downhill, and I managed to drive at 56 miles per hour. What was my average speed for the entire journey?

Ans. It it important to note that

Average speed = Total distance / Total time.

Total distance = 2 × 55 miles.

Time for uphill journey (from Oakland to Pinewood) = 55 / 42 hours.

Time for downhill journey (from Pinewood to Oakland) = 55 / 56 hours.

Total time = (55 / 42) + (55 / 56) = 2 × 55 / 48 hours.

Average speed = Total distance / Total time = 48 miles per hour.

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