Average Speed: Calculate The Missing Side based on the formula

Examples with solutions for Average Speed: Calculate The Missing Side based on the formula

Exercise #1

Rodney rides a motorcycle for 13 \frac{1}{3} of an hour over a distance of 30 km, stops to rest for 16 \frac{1}{6} of an hour, then continues for 14 \frac{1}{4} of an hour.

His average speed is 6623 66\frac{2}{3} km/h.

How far does he ride in the last quarter of an hour of his trip?

Video Solution

Answer

20 20 km

Exercise #2

The owner of a pizzeria suspects that one of his delivery drivers has taken too long of a break.

He knows that the driver traveled for 45 minutes at a speed of 90 km/h and then quickly returned the same way at a speed of 67.5 km/h.

In the middle, he took a break. The manager also knows that the driver's average speed throughout the day is 54 km/h.

How long was the break?

Video Solution

Answer

45 minutes

Exercise #3

On the way home from school, Jerry stops at an ice cream shop.

It takes him 17 minutes to get to the shop, which is 1700 meters from his school.

It takes him a further 20 minutes to get from the shop to his house, which is 3000 meters away.

His average speed is 1.567 meters per second.

For how long did he stay at the ice cream shop?

Video Solution

Answer

13 13 minutes

Exercise #4

Carmen climbs up a ladder for a minute and a half, stops for 15 seconds, then slides down a 3 meter-long slide in 20 seconds.

Her average speed from the bottom of the ladder to touching the ground is 0.036 meters per second.

How high is the ladder?

Video Solution

Answer

1.5 1.5 meters

Exercise #5

The average speed of a boat is 45 km/h.

At the beginning of the voyage, the boat covers a distance of 30 km in 40 minutes.

What was the speed of the boat over the next 50 km?

Video Solution

Answer

45 45 km/h

Exercise #6

A caterpillar crawls for two minutes at a speed of 3 cm per minute, then increases its speed and continues crawling.

In total, the caterpillar advances 30 cm and its average speed is 4.412 cm per minute.

How fast does it travel after increasing its speed?

Video Solution

Answer

5 5 cm per minute

Exercise #7

Diego cycles around a bike path in two parts.

Part 1: 8.6 km in 28 minutes

Part 2: 11.4 km in 34 minutes

He rests between both parts.

If Diego travels at an average speed without stopping, he finishes in an hour and a quarter.


For how long does he rest?

Video Solution

Answer

13 13 minutes

Exercise #8

Ricardo travels 18 km at a speed of X km/h and then doubles his speed.

Then he covers another 12 km, rests for half an hour, and then continues at his initial speed for another 10 km.

What is his average speed?

Video Solution

Answer

80x68+x \frac{80x}{68+x} km/h