Julia can finish a 20-mile bike ride in 1.2 hours. Katie can finish the same bike ride in 1.6 hours. How much faster does Julia

Question

SOVA2

3 months ago

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Julia can finish a 20-mile bike ride in 1.2 hours. Katie can finish the same bike ride in 1.6 hours. How much faster does Julia

ride than Katie? Distance Rate Time Julia 20 1.2 Katie 20 1.6 4.2 mph 12.5 mph 15.4 mph 16.7 mph

Mathematics

2 answers:

PIT_PIT [12.4K] · Answer 1 · 2026-02-19T12:27:21+03:00

If Julia rides 20 miles in 1.2 hours, her speed is 20 divided by 1.2, equaling 16.667 miles per hour. Katie’s speed, covering 20 miles in 1.6 hours, is 20 divided by 1.6, which is 12.5 miles per hour. Therefore, Julia travels 16.667 minus 12.5 miles per hour faster than Katie, resulting in 4.167 mph difference.

Svet_ta [12.7K] · Answer 2 · 2026-02-19T12:29:33+03:00

Given that, $speed = \frac{distance}{time}$

Julia completes a 20-mile bike ride in 1.2 hours.

The distance Julia covers is 20 miles and her time taken is 1.2 hours.

Therefore, Julia's speed = $\frac{20}{1.2}$ = 16.67 mph

Katie finishes the same 20-mile ride in 1.6 hours.

Katie’s distance is 20 miles and her time is 1.6 hours.

Hence, Katie's speed = $\frac{20}{1.6}$ = 12.5 mph

To determine how much faster Julia rides compared to Katie, subtract Katie’s speed from Julia’s speed.

Thus, 16.67 mph minus 12.5 mph equals 4.17 mph, approximately 4.2 mph.

Consequently, Julia cycles 4.2 mph faster than Katie.