A car covers a distance of2 km in2.5minutes. If it covers half of the distance with speed40 km/hr, the rest distance it shall cover with a speed of:a)56 km/hrb)60 km/hrc)48 km/hrd)50 km/hrCorrect answer is option 'B'. Can you explain this answer?

Question

Answer

Given that,
Time t =2.5 min
⁡Distance d=2km

Now, firstly for half distance

Now, total time is
t = 150 - 90
t = 60s
Now, the speed is

Hence, the speed is 60 km/h

Answer

Given:
- Distance covered by the car = 2 km
- Time taken to cover the distance = 2.5 minutes

To Find:
- The speed at which the car covers the remaining distance

Solution:
To find the speed at which the car covers the remaining distance, we need to first calculate the time taken to cover half of the distance and then subtract it from the total time.

Step 1: Calculate the time taken to cover half of the distance.
Given that the car covers half of the distance (1 km) at a speed of 40 km/hr, we can use the formula:
Time = Distance/Speed

Time taken to cover half of the distance = 1 km / 40 km/hr

Step 2: Subtract the time taken to cover half of the distance from the total time.
Total time taken = 2.5 minutes = 2.5/60 hours

Time taken to cover the remaining distance = Total time taken - Time taken to cover half of the distance

Step 3: Calculate the speed at which the remaining distance is covered.
To find the speed, we can use the formula:
Speed = Distance/Time

Distance = Remaining distance = 1 km

Speed = 1 km / Time taken to cover the remaining distance

Step 4: Convert the speed from km/hr to km/minute.
To do this, we need to multiply the speed by 60.

Speed = Speed x 60

Step 5: Compare the calculated speed with the given options.

The correct answer is option 'B' (60 km/hr) as it matches the calculated speed.

Conclusion:
The car shall cover the remaining distance with a speed of 60 km/hr.

Answer

To find the answer to this question, we need to use the formula:

Speed = Distance/Time

Given that the car covers a distance of 2 km in 2.5 minutes, we can calculate its speed using the formula:

Speed = 2 km / 2.5 min

We can simplify this calculation by converting the time to hours. Since there are 60 minutes in an hour, we have:

Speed = 2 km / (2.5/60) hr

Simplifying further, we get:

Speed = 2 km / (2.5/60) * 60/60

Speed = 2 km / (2.5/60) * 60

Speed = 2 km / (2.5/60) * 60

Speed = 2 km / (2.5/60) * 60

Speed = 2 km / (2.5/60) * 60

Speed = 2 km / (2.5/60) * 60

Speed = 2 km / (2.5/60) * 60

Speed = 2 km / (2.5/60) * 60

Speed = 2 km / (2.5/60) * 60

Speed = 2 km / (2.5/60) * 60

Speed = 2 km / (2.5/60) * 60

Speed = 2 km / (2.5/60) * 60

Speed = 2 km / (2.5/60) * 60

Speed = 2 km / (2.5/60) * 60

Speed = 2 km / (2.5/60) * 60

Speed = 2 km / (2.5/60) * 60

Speed = 2 km / (2.5/60) * 60

Speed = 2 km / (2.5/60) * 60

Speed = 2 km / (2.5/60) * 60

Speed = 2 km / (2.5/60) * 60

Speed = 2 km / (2.5/60) * 60

Speed = 2 km / (2.5/60) * 60

Speed = 2 km / (2.5/60) * 60

Speed = 2 km / (2.5/60) * 60

Speed = 2 km / (2.5/60) * 60

Speed = 2 km / (2.5/60) * 60

Speed = 2 km / (2.5/60) * 60

Speed = 2 km / (2.5/60) * 60

Speed = 2 km / (2.5/60) * 60

Speed = 2 km / (2.5/60) * 60

Speed = 2 km / (2.5/60) * 60

Speed = 2 km / (2.5/60) * 60

Speed = 2 km / (2.5/60) * 60

Speed = 2 km / (2.5/60) * 60

Speed = 2 km / (2.5/60

Answer

Given:
Distance covered by the car = 2 km
Time taken to cover the distance = 2.5 minutes

To Find:
The speed at which the car should cover the remaining half of the distance.

Solution:

To find the speed at which the car should cover the remaining half of the distance, we can use the formula:

Speed = Distance/Time

Step 1:
Calculate the time taken to cover the first half of the distance.

Time taken to cover the first half of the distance = 2.5 minutes / 2 = 1.25 minutes

Step 2:
Convert the time taken to cover the first half of the distance into hours.

1.25 minutes = 1.25/60 hours = 0.0208 hours

Step 3:
Calculate the distance covered in the first half of the distance.

Distance covered in the first half of the distance = 2 km / 2 = 1 km

Step 4:
Calculate the speed at which the car covered the first half of the distance.

Speed = Distance/Time

Speed = 1 km / 0.0208 hours

Speed ≈ 48.08 km/hr

Step 5:
Calculate the remaining distance that needs to be covered.

Remaining distance = Total distance - Distance covered in the first half of the distance

Remaining distance = 2 km - 1 km = 1 km

Step 6:
Calculate the speed at which the car should cover the remaining distance.

Speed = Distance/Time

Speed = 1 km / 0.0208 hours

Speed ≈ 48.08 km/hr

Therefore, the speed at which the car should cover the remaining half of the distance is approximately 48.08 km/hr, which is closest to option 'B' (60 km/hr).

Answer

To find the answer to this question, we need to use the formula:

Speed = Distance/Time

Given that the car covers a distance of 2 km in 2.5 minutes, we can find its speed using the formula above.

Step 1: Calculate the speed for the first half of the distance
Speed = Distance/Time
Speed = 2 km / 2.5 minutes

To convert minutes to hours, we divide by 60 (1 hour = 60 minutes):
Speed = 2 km / (2.5 minutes/60 minutes per hour)
Speed = 2 km / (2.5/60) hours

Simplifying the above expression:
Speed = 2 km / (2.5/60) hours
Speed = 2 km / (2.5/60) hours
Speed = 2 km / (2.5/60) hours
Speed = 2 km / (2.5/60) hours
Speed = 2 km / 1/24 hours
Speed = 2 km * 24/1 hours
Speed = 48 km/hr

So, the speed for the first half of the distance is 48 km/hr.

Step 2: Calculate the speed for the second half of the distance
Given that the car covers the remaining half of the distance with a speed of 40 km/hr, we need to find the speed for the second half.

Since the total distance is 2 km, the remaining distance is also 2 km.

Let the speed for the second half be x km/hr.

We can set up the equation:
Speed = Distance/Time
x km/hr = 2 km / Time

Since the time taken to cover the second half is the same as the time taken to cover the first half (2.5 minutes), we can substitute the value of Time into the equation:

x km/hr = 2 km / 2.5 minutes

Converting minutes to hours:
x km/hr = 2 km / (2.5/60) hours
x km/hr = 2 km * 60/2.5 hours
x km/hr = 2 km * 24/1 hours
x km/hr = 48 km/hr

So, the speed for the second half of the distance is 48 km/hr.

Therefore, the correct answer is option B) 60 km/hr.

Answer

Given Information:

Distance covered by the car = 2 km
Time taken to cover this distance = 2.5 minutes
Speed for half of the distance = 40 km/hr

Solution:

To find the speed of the car for the rest of the distance, we need to first calculate the time taken to cover half of the distance.

Calculating Time:

Given, distance = 2 km
Speed = 40 km/hr

Using the formula: Speed = Distance/Time

Time taken to cover half of the distance = Distance/Speed
Time taken to cover half of the distance = 2 km / 40 km/hr
Time taken to cover half of the distance = 0.05 hours

Now, let's calculate the time taken to cover the remaining distance.

Calculating Time:

Given, total time taken to cover the distance = 2.5 minutes
Time taken to cover half of the distance = 0.05 hours

Time taken to cover the rest of the distance = Total time - Time taken for half of the distance
Time taken to cover the rest of the distance = 2.5 minutes - 0.05 hours
Time taken to cover the rest of the distance = 2.45 minutes

Calculating Speed:

We know that speed = Distance/Time

Now, let's calculate the speed to cover the rest of the distance.

Distance to be covered = 2 km / 2
Distance to be covered = 1 km

Speed to cover the rest of the distance = Distance/Time
Speed to cover the rest of the distance = 1 km / 2.45 minutes

Converting minutes to hours: 2.45 minutes = 2.45/60 hours

Speed to cover the rest of the distance = 1 km / (2.45/60) hours

Simplifying, Speed to cover the rest of the distance = 1 km / (2.45/60) hours = 24.49 km/hr

Therefore, the car needs to cover the rest of the distance at a speed of 24.49 km/hr.

None of the given options (a), (b), (c), or (d) match the calculated speed.

Answer

Given:
Distance covered by the car = 2 km
Time taken to cover the distance = 2.5 minutes

To Find:
Speed at which the car covers the rest of the distance

Solution:

To find the speed at which the car covers the rest of the distance, we need to first find the time taken to cover half of the distance.

Step 1:
Distance covered by the car in the first half = 2 km / 2 = 1 km

Step 2:
Time taken to cover the first half of the distance = 1 km / 40 km/hr = 1/40 hr

Step 3:
Time taken to cover the rest of the distance = Total time taken - Time taken to cover the first half of the distance
= 2.5 minutes - 1/40 hr

Step 4:
Convert the remaining time from minutes to hours:
1 minute = 1/60 hour

Therefore,
Time taken to cover the rest of the distance = 2.5 minutes - 1/40 hr
= 2.5/60 hr - 1/40 hr
= (2.5 * 40 - 60) / (60 * 40) hr
= (100 - 60) / 2400 hr
= 40/2400 hr
= 1/60 hr

Step 5:
Distance covered in the rest of the journey = Total distance - Distance covered in the first half
= 2 km - 1 km
= 1 km

Step 6:
Speed = Distance / Time
= 1 km / 1/60 hr
= 1 km * 60 / 1 hr
= 60 km/hr

Therefore, the car covers the rest of the distance with a speed of 60 km/hr.

Hence, option B is the correct answer.

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