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
1 answer:
Mom drove for 11 hours.
Dad drove for 3 hours.
<u>Step-by-step explanation </u>:
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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