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Select the correct answerA girl reaches school on foot from her home in 24 minutes at a speed of 5 km/h and in return travels the same distance by cycling at a speed of 8 km/h. time took to get back by bicycle?Options10 minutes15 minutes8 minutes21 minutes

Question

Select the correct answerA girl reaches school on foot from her home in 24 minutes at a speed of 5 km/h and in return travels the same distance by cycling at a speed of 8 km/h. time took to get back by bicycle?Options10 minutes15 minutes8 minutes21 minutes

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Solution

To solve this problem, we first need to find out the distance between the girl's home and her school. We know that she walks to school at a speed of 5 km/h for 24 minutes.

Step 1: Convert the time from minutes to hours. There are 60 minutes in an hour, so 24 minutes is 24/60 = 0.4 hours.

Step 2: Use the formula for distance which is speed * time. So, the distance to school is 5 km/h * 0.4 hours = 2 km.

Now, we know that the girl cycles back home at a speed of 8 km/h. We need to find out how long it takes her to cycle 2 km.

Step 3: Use the formula for time which is distance/speed. So, the time taken to cycle back home is 2 km / 8 km/h = 0.25 hours.

Step 4: Convert this time from hours back into minutes. There are 60 minutes in an hour, so 0.25 hours is 0.25*60 = 15 minutes.

So, the correct answer is 15 minutes.

This problem has been solved

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