Question

Miguel bikes 23km per hour and starts at mile 10. Gabby bikes 28km per hour and starts at mile 0. which system of linear equations represents this situation.

Answer 1

Miguel's distance covered = 10 + 14.29 * t

Gabby's distance covered = 17.40 * t

Explanation:

Recall that in order to convert km to miles we do:

1 km = 0.62137 mi. therefore the conversion of speeds from km to miles, so we write the distance covered for each biker in miles, we have:

23 km/h = 14.29 mi/h

and 28 km/h = 17.40 mi/h

For Miguel, the distance (D1 in miles) covered will be represented by:

D1 = 10 + 14.29 * t

where t is t the variable that represents the time in hours, and D1 is the distance covered in miles.

For Gabby the distance D2 equation is given by:

D2 = 0 + 17.40 * t