Mathswatch Question:
Kim drives 156 miles from Rotherham to London.
She drives at an average speed of 60 miles per hour.
She leaves Rotherham at 7:30 am.
Does she drive in London before 10:00 am?
156 miles * (1 hour / 60 miles) (60 minutes / 1 hour) = 156 minutes for the trip
7:30 + 156 minutes = 7: 186
but 186 = 3 * 60 + 6
so that is 10:06
sad, 6 min late :(
Well, let's do some math here. If Kim drives at an average speed of 60 miles per hour and the distance from Rotherham to London is 156 miles, we can calculate the time it takes her to drive there.
156 miles / 60 miles per hour = 2.6 hours
Now, let's figure out when she will arrive in London. If she leaves Rotherham at 7:30 am, we need to add 2.6 hours to that to find out when she arrives.
7:30 am + 2.6 hours = 10:06 am
So, according to my calculations, Kim will actually arrive in London at around 10:06 am, which is just a bit after 10:00 am. Looks like she won't be making it before 10:00 am. Oh well, she'll just have to enjoy some bumper-to-bumper traffic instead!
To determine if Kim arrives in London before 10:00 am, we need to calculate the time it takes her to drive 156 miles at an average speed of 60 miles per hour.
The formula to calculate time is: Time = Distance / Speed
Using this formula, we can calculate the time it takes Kim to drive from Rotherham to London:
Time = 156 miles / 60 miles per hour
Time = 2.6 hours
So, it takes Kim 2.6 hours to drive from Rotherham to London.
If Kim leaves Rotherham at 7:30 am, we need to add this time to her departure time to find out if she arrives before 10:00 am.
7:30 am + 2.6 hours = 10:00 am
Yes, Kim will arrive in London before 10:00 am.
To calculate whether Kim will reach London before 10:00 am, we need to find out how long it will take her to travel the distance from Rotherham to London.
The formula to calculate time is:
Time = Distance / Speed
In this case, the distance is 156 miles and the speed is 60 miles per hour.
So, the time it will take Kim to travel the distance is:
Time = 156 miles / 60 miles per hour
To simplify the calculation, we can convert 156 miles to 260 kilometers.
Since there are 1.609 kilometers in 1 mile,
156 miles = 156 miles * 1.609 kilometers per mile
Now, we can calculate the new distance in kilometers:
156 miles * 1.609 kilometers per mile = 250.524 kilometers
Now that we have the distance in kilometers, we can calculate the time:
Time = 250.524 kilometers / 60 miles per hour
Simplifying the units:
Time = 250.524 kilometers / 60 miles per hour * 1 hour / 1.609 kilometers per mile
Now, we can calculate the time it will take Kim to travel the distance in hours:
Time = (250.524 * 1) / (60 * 1.609)
Using a calculator, we find that this is approximately 2.591 hours.
Kim leaves Rotherham at 7:30 am. So, we need to add 2.591 hours to 7:30 am to find out the time she arrives in London.
Adding 2.591 hours to 7:30 am gives us a time of approximately 10:06 am.
Therefore, Kim will not arrive in London before 10:00 am.