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With what speed should a car travel so that it can cover a distance of 8 km. in 15 minutes?
- a)32 km / h
- b)60 km/h
- c)16 km/ h
- d)7.5 km/h
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
With what speed should a car travel so that it can cover a distance of...
Time = 15 minutes 
distance = 8 km
= 8 × 4 km/hour
= 32 km/h
distance = 8 km
= 8 × 4 km/hour
= 32 km/h
Most Upvoted Answer
With what speed should a car travel so that it can cover a distance of...
To determine the speed at which a car should travel to cover a distance of 8 km in 15 minutes, we can use the formula:
Speed = Distance / Time
Where:
- Speed is the rate at which the car is traveling (in km/h)
- Distance is the total distance covered by the car (in km)
- Time is the amount of time taken to cover the distance (in hours)
Now, let's solve the problem step by step.
Step 1: Convert Time to Hours
Since the given time is in minutes, we need to convert it to hours. There are 60 minutes in an hour, so we divide the given time by 60.
15 minutes ÷ 60 = 0.25 hours
Step 2: Substitute the Values
Now, we can substitute the given distance and time values into the formula to find the speed.
Speed = 8 km ÷ 0.25 hours
Step 3: Calculate the Speed
To divide a number by a fraction, we multiply it by the reciprocal of the fraction.
Speed = 8 km × (1 ÷ 0.25)
Speed = 8 km × 4
Speed = 32 km/h
Therefore, the car should travel at a speed of 32 km/h to cover a distance of 8 km in 15 minutes. Thus, option 'A' is the correct answer.
Speed = Distance / Time
Where:
- Speed is the rate at which the car is traveling (in km/h)
- Distance is the total distance covered by the car (in km)
- Time is the amount of time taken to cover the distance (in hours)
Now, let's solve the problem step by step.
Step 1: Convert Time to Hours
Since the given time is in minutes, we need to convert it to hours. There are 60 minutes in an hour, so we divide the given time by 60.
15 minutes ÷ 60 = 0.25 hours
Step 2: Substitute the Values
Now, we can substitute the given distance and time values into the formula to find the speed.
Speed = 8 km ÷ 0.25 hours
Step 3: Calculate the Speed
To divide a number by a fraction, we multiply it by the reciprocal of the fraction.
Speed = 8 km × (1 ÷ 0.25)
Speed = 8 km × 4
Speed = 32 km/h
Therefore, the car should travel at a speed of 32 km/h to cover a distance of 8 km in 15 minutes. Thus, option 'A' is the correct answer.
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With what speed should a car travel so that it can cover a distance of 8 km. in 15 minutes?a)32 km / hb)60 km/hc)16 km/ hd)7.5 km/hCorrect answer is option 'A'. Can you explain this answer?
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