1. Suzette ran and biked for a total of 60 mi in 6 h. Her average running speed was 4 mph and her average biking speed was 12 mph. Let x = total hours Suzette ran. Let y = total hours Suzette biked

Suzette ran for 1.5 hours and biked for 4.5 hoursStep-by-step explanation:The given is:Suzette ran and biked for a total of 60 miles in 6 hoursHer average running speed was 4 mphHer average biking speed was 12 mphLet x = total hours Suzette ran Let y = total hours Suzette biked∵ x represents the total hours Suzette ran ∵ y represents the total hours Suzette biked∵ Suzette ran and biked for a total 6 hours∴ x + y = 6 ⇒ (1)∵ Her average running speed was 4 mph∵ Her average biking speed was 12 mph∵ Distance = speed × time∴ Her total distance = 4 x + 12 y∵ Suzette ran and biked for a total of 60 miles- Equate the two expressions of her total distance∴ 4 x + 12 y = 60 ⇒ (2)Now let us solve the system of equations to find the values of x and yMultiply equation (1) by -4 to eliminate x∵ (-4) x + (-4) y = (-4)(6)∴ -4 x - 4 y = -24 ⇒ (3)- Add equations (2) and (3)∴ 8 y = 36- Divide both sides by 8∴ y = 4.5 ∴ Suzette biked for 4.5 hours- Substitute the value of y in equation (1) to find the value of x∵ x + 4.5 = 6- Subtract 4.5 from both sides∴ x = 1.5∴ Suzette ran for 1.5 hoursSuzette ran for 1.5 hours and biked for 4.5 hoursLearn more:You can learn more about system of equations in brainly.com/question/6075514#LearnwithBrainly