Question

John's family visited his grandmother over the weekend. the drive to her house was 2 hours at their usual speed. the trip back took 15 min longer because traffic was bad and they had to drive 5 mph slower. how many miles away is Johns's grandmother's house?

Answer 1

The distance to Johns's grandmother's house is 90 miles.

Speed

Speed is the ratio of total distance to total time taken, it is given by:

Speed = distance / time

Let x represent the speed that John used and d represent the distance, hence:

x = d/2

Also when taken 15 minute longer (0.25 hours):

x - 5 = d/(2 + 0.25)

x = d/2.25 + 5

Equating:

d/2 = d/2.25 + 5

d = 90 miles

The distance to Johns's grandmother's house is 90 miles.

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Answer 2

Answer:

The distance to Johns's grandmother's house is 90 miles.

Speed

Speed is the ratio of total distance to total time taken, it is given by:

Speed = distance / time

Let x represent the speed that John used and d represent the distance, hence:

x = d/2

Also when taken 15 minute longer (0.25 hours):

x - 5 = d/(2 + 0.25)

x = d/2.25 + 5

Equating:

d/2 = d/2.25 + 5

d = 90 miles

The distance to Johns's grandmother's house is 90 miles.