Mary's family went to Disneyland. Her mom drove 75 miles an hour and her dad drove 60 miles an hour. If they drove for a total of 1710 miles, how many hours did each one of the drive?

Answer: her mum drove for 12.67 hours and her dad drove for 12.67 hours

Step-by-step explanation:

Her mom drove 75 miles an hour and her dad drove 60 miles an hour.

The ratio of her mum's speed to her dad's speed is 75 : 60

Total ratio = 75 + 60 = 135

Since the speed of her mum and her dad will determine the distance that each of them covered,

Distance covered by mum will be

Speed of mum / total ratio * total distance covered. It becomes

75/135 * 1710 = 950 miles

Distance covered by dad would be total distance - distance covered by mum. It becomes

1710 - 950 = 760 miles

Time spent by her mum = distance covered by her mum / speed of her mum. This becomes

950/75 = 12.67 hours

Time spent by her dad = distance covered by her dad / speed of her dad. This becomes

760/60 = 12.67 hours