Answer:
5.5 hours
Explanation:
1. Understand
A person can travel at the speed of 40 miles per hour (mph). If the speed is increased by 50%, how long will it take to cover 330 miles?
a. What is asked? How long will it take to cover 330 miles travelling at a speed 50% greater than 40 mph
b. What are the given facts?
Current Speed = 40 mph
New Speed = 40 mph + 50% of 40 mph
Distance = 330 miles
2. Plan
Calculate the new speed and then use the two speeds to calculate time based on Distance = Speed x Time
What is the formula to solve the problem?
Distance = Speed x Time
3. Solve
Show your solution.
Original Speed = 40 mph
New Speed = 40 + (0.5)*(40): New = 60 mph
Time at New Speed is:
Distance = Speed x Time
330 miles = (60 mph)*(Time)
Time = (330 miles)/(60 miles/hour)
Time = 5.5 hours
4. Check
Distance = Speed x Time
How far does a person travel going 60 miles/hour for 5.5 hours? Is it 330 miles?
Distance = (60 mph)*(5.5 hours)
Distance = 330 miles
YES
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