It took Ms. Hernandez __ 4 5 hour to drive ___3 10 of the way to her uncle’s house. How many hours did it take her to drive to her uncle’s house?
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Given : It took Ms. Hernandez 4/5 hour to drive 3/10 of the way to her uncle’s house.
To Find : How many hours did it take her to drive to her uncle’s house
Solution:
Let say Total Distance = 10x km
Then 3/10 of distance = (3/10)10x = 3x km
Time taken to cover 3x km distance = 4/5 hrs
=> Time taken to cover 1 km distance = (4/5) / 3x hrs
=> Time taken to cover 10x km distance = 10x (4/5) / 3x hrs
= 2(4)/3
= 8/3
8/3 hrs taken by her to drive to her uncle’s house
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