Question

Georgina enters a 12 km race. She wants to finish the race in one hour and twenty minutes. She starts off jogging at a speed of 7 km/h. After 30 minutes, she realizes that she needs to increase her speed to finish the race in her desired time.

Answer 1

Step-by-step explanation:

170m per minute u am right if yes please comment

Answer 2

Georgina must run at the rate of 10.2 km/hour to finish the race at desired time.

Step-by-step explanation:

The race is 12 km long and Georgina wants to finish the race in 1 hour 20 minutes, that is in total 80 minutes

She runs for 30 minutes at the speed = 7 km per hour

The distance that she had covered in 30 minutes = $\frac{7}{2}$ = 3.5 km

Now the remaining distance she has to run = 12 - 3.5 = 8.5 km

and the remaining time = 80 - 30 = 50 minutes

We need to determine the constant rate that Georgina needs to run at.

Georgina needs to run 8.5 km in 50 minutes.

By dividing each term by 5: 8.5÷5 = 1.7 km

                                        and 50÷5 = 10 minutes.

Georgina needs to run in 10 minutes 1.7 km.

By multiplying each term by 6: 10 × 6 = 60 minutes (1 hour)

                                            and 1.7 × 6 = 10.2 km

Thus, Georgina must run at the rate of 10.2 km/hour to finish the race at desired time.

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