SOLUTION: Driving her car at 60 km/h Carolina can cover a certain distance in 10 minutes less than when she drives at 55 km/h. Find that distance in meters.

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Question 1157786: Driving her car at 60 km/h Carolina can cover a certain distance in 10 minutes less than when she drives at 55 km/h. Find that distance in meters.
Answer by greenestamps(13209) About Me  (Show Source):
You can put this solution on YOUR website!


Let d be the distance.

Time at 60km/hr = d/60
Time at 55km/hr = d/55

The time at 60km/hr is 10 minutes = 1/6 hour less than at 55km/hr:

d%2F60+=+d%2F55-1%2F6

Multiply by the least common denominator, 660

11d+=+12d-110
d+=+110

ANSWER: The distance is 110km, or 110,000 meters.

CHECK:
110km at 60km/hr = 110/60 = 11/6 hours = 1 hour 50 minutes
110km at 55km/hr = 110/55 = 2 hours