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vampirchik [111]
3 years ago
13

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
Mathematics
1 answer:
Kay [80]3 years ago
6 0

Mom drove for 11 hours.

Dad drove for 3 hours.

<u>Step-by-step explanation</u>:

  • 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

-(<u>65x + 60y = 895</u>)

 <u> -5x   = -55    </u>

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.

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