Question

Olivia family drove to Disney land For spring break. Her mom and dad shared the driving duties for a total of 14 hours. her mom drove 65 mph and her dad drove 60 mph if they drove a total of 895 miles how many hours did each person drive for

Answer 1

Mom drove for 11 hours.

Dad drove for 3 hours.

Step-by-step explanation:

• Total hours = 14 hours

• Total distance = 895 miles

• Mom drove a speed of 65 mph

• Dad drove a speed of 60 mph

Let 'x' be the number of hours drove by mom.

Let 'y' be the number of hours drove by dad.

x + y = 14     ---------------(1)

65x + 60y = 895  ---------(2)

Multiply eq(1) by 60 and subtract eq(2) from (1),

60x + 60y = 840

-(65x + 60y = 895)

  -5x   = -55    

x = 55/5

x = 11

∴ Mom drove for 11 hours.

Substitute x=11 in eq(1)

11+y = 14

y = 3

∴ Dad drove for 3 hours.