What must his average speed be on the last part to complete on time

Evan is on the 24 mile bike trip. He wants to average 10 mph. He is halfway to his destination and has average 8 mph.
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To have an average of 10mph he must complete the race in 24/10=2.4 hours.

The time taken to complete half the journey is 12/8=1.5 hours.

So he must complete the race in another 2.4-1.5=0.9 hours.

His speed must be 12/0.9=120/9=40/3=13.33mph.

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