HSPT Math › How to do distance problems
On a map, one half of an inch represents forty miles of real distance.
It takes John 90 minutes to get from Kingsbury to Willoughby driving an average of miles per hour. How many inches apart, in terms of
, are the two cities on the map?
Mr. Thomas's car holds exactly 14 gallons of gasoline, and gets 24 miles per gallon. He gets into his car, which has a full gas tank, and drives miles. He then refills the car until the gas gauge reads "full" again. In terms of
, how many gallons of gasoline did he put in his car?
Six friends work for a company as maintenance staff.
Above are six graphs. Each graph shows the distance that one of the six is from his home from 8 AM to 9 AM on a particular day, relative to the time. The time of day is represented by the horizontal axis, and the distance from home is represented by the vertical axis. The name of the person represented by each graph is under the graph.
Of the six, which one started out, realized he forgot his briefcase, went back for it, and went to work?
Suppose a student ran a pace of eight minutes per mile at consistent pace. He arrived at the school in thirty minutes. How far is the school in miles?
Find the distance from point to point
.
Six friends work for a company as maintenance staff.
Above are six graphs. Each graph shows the distance that one of the six is from his home from 8 AM to 9 AM on a particular day, relative to the time. The time of day is represented by the horizontal axis, and the distance from home is represented by the vertical axis. The name of the person represented by each graph is under the graph.
Of the six, who took the express train directly to work?
Six friends work for a company as maintenance staff.
Above are six graphs. Each graph shows the distance that one of the six is from his home from 8 AM to 9 AM on a particular day, relative to the time. The time of day is represented by the horizontal axis, and the distance from home is represented by the vertical axis. The name of the person represented by each graph is under the graph.
Of the six, which one called in sick at 7:30 AM and stayed in bed?
Jason is driving across the country. For the first 3 hours, he travels 60 mph. For the next 2 hours he travels 72 mph. Assuming that he has not stopped, what is his average traveling speed in miles per hour?
Six friends work for a company as maintenance staff.
Above are six graphs. Each graph shows the distance that one of the six is from his home from 8 AM to 9 AM on a particular day, relative to the time. The time of day is represented by the horizontal axis, and the distance from home is represented by the vertical axis. The name of the person represented by each graph is under the graph.
Of the six, who stopped for some breakfast on the way to work?
Joe drove an average of 45 miles per hour along a 60-mile stretch of highway, then an average of 60 miles per hour along a 30-mile stretch of highway. What was his average speed, to the nearest mile per hour?