Math Problem Statement
Harpreet covered a certain distance at 5 km/h in 4 hours 12 minutes. Find the time required to cover the same distance at the speed of 7 km/h.
Solution
To solve this problem, we can break it down into two steps:
Step 1: Calculate the distance covered by Harpreet
Given:
- Speed = 5 km/h
- Time = 4 hours 12 minutes
First, convert 4 hours 12 minutes into hours:
Now, use the formula:
Step 2: Find the time required to cover the same distance at 7 km/h
Given:
- Speed = 7 km/h
- Distance = 21 km
Use the formula:
So, the time required to cover the same distance at 7 km/h is 3 hours.
Would you like any further details or explanations? Here are five related questions:
- How would the time change if Harpreet's speed were 10 km/h?
- What is the formula for speed if you know the distance and time?
- How would you convert 4 hours 12 minutes into minutes only?
- What would be the distance covered if Harpreet traveled for 5 hours at 7 km/h?
- How does speed affect the time taken to cover a fixed distance?
Tip: Always ensure that time units are consistent when performing calculations involving speed and time.
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Math Problem Analysis
Mathematical Concepts
Speed, Distance, Time Calculations
Formulas
Distance = Speed × Time
Time = Distance / Speed
Theorems
-
Suitable Grade Level
Grades 6-8
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