Question

A motorist, travels at an average speed of 110 km/h for 2 hours. He then travels at an average speed of 98 km/h for 24 hours. Calculate his average speed over the whole distance.​

Answer 1

99.08 km/h

Explanation:

We can use the formula for average speed:average speed = total distance ÷ total timeTo use this formula, we need to first find the total distance traveled. We can do this by adding up the distances traveled at each speed:distance traveled at 110 km/h = 110 km/h × 2 h = 220 km

distance traveled at 98 km/h = 98 km/h × 24 h = 2352 kmTotal distance traveled = 220 km + 2352 km = 2572 kmNext, we can find the total time taken by adding up the times taken at each speed:time taken at 110 km/h = 2 hours

time taken at 98 km/h = 24 hoursTotal time taken = 2 hours + 24 hours = 26 hoursFinally, we can substitute the values we found into the formula for average speed:average speed = total distance ÷ total time

average speed = 2572 km ÷ 26 h

average speed ≈ 99.08 km/hTherefore, the motorist's average speed over the whole distance is approximately 99.08 km/h.

Answer 2

Answer: the average speed over the whole distance is approximately 98.92 km/h.

Explanation:

To calculate the average speed over the whole distance, we can use the formula:

average speed = total distance / total time

We can calculate the total distance by adding the distance traveled during the first two hours and the distance traveled during the next 24 hours. Since speed is distance over time, we can use the formula:

distance = speed × time

For the first two hours, the distance traveled is:

distance1 = speed1 × time1 = 110 km/h × 2 h = 220 km

For the next 24 hours, the distance traveled is:

distance2 = speed2 × time2 = 98 km/h × 24 h = 2352 km

The total distance traveled is:

total distance = distance1 + distance2 = 220 km + 2352 km = 2572 km

The total time taken is:

total time = time1 + time2 = 2 h + 24 h = 26 h

Therefore, the average speed over the whole distance is:

average speed = total distance / total time = 2572 km / 26 h ≈ 98.92 km/h

Therefore, the average speed over the whole distance is approximately 98.92 km/h.