 ## Wednesday, April 10, 2013

### Rate, Distance, Time - Problem, 3

Category: Algebra

"Published in Newark, California, USA"

A jeepney enroute to Bataan travels for 1 hour and 40 minutes at a uniform speed. Inclement weather forces the driver to slow down to two-fifths of the original speed. The jeepney reaches its destination 30 minutes later covering a total distance of 84 miles. What was the original speed?

Solution:

The given word problem is about the rate, distance, and time problem. Let's analyze the word problem as follows

Let     x = be the original speed of the jeepney before the inclement weather
2/5 x = be the speed of the jeepney during the inclement weather

To understand more the word problem, it is better to illustrate the given word problem as follows

We know that

The total distance traveled by the jeepney is equal to the distance traveled at a uniform speed plus the distance traveled at a reduced speed during the inclement weather. The working equation for this problem is

Therefore, the original speed of the jeepney is 45 miles/hr