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dybincka [34]
3 years ago
9

Sheila and Lenore were driving to their grandmother’s house. Lenore left 1 hour after Sheila. Sheila drove at a rate of 45mph, a

nd Lenore drove at a rate of 60mph. How long will it take for Lenore to catch up to Sheila?
Mathematics
1 answer:
solong [7]3 years ago
4 0

Answer:

It'll take 3 h before Lenore catch up to Sheila.

Step-by-step explanation:

To solve this problem we first need to calculate the relative speed between the two. Since they're going at the same direction we need to subtract their individual speeds if their directions were oposite we would have to sum their speeds. In this case we have:

relative speed = Lenore speed - Sheila speed

relative speed = 60 - 45 = 15 mph

Since Sheila left 1 h before Lenore and she drove at a rate of 45 mph, then she had covered a distance of:

distance = time*speed = 1*45 = 45 miles

Before Lenore left, so in order for Lenore to catch up to Sheila she needs to cover that distance at a relative speed of 15 mph.

time = distance/(relative speed) = 45/15 = 3 h

It'll take 3 h before Lenore catch up to Sheila.

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Step-by-step explanation:

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As we know, the volume of a cone is as following:

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If the base diameter are unchanged => area of the base of the two cones are  unchanged and from the given information, the volume of the big cone is double the volume of the small cone. So the height of the big cone is double the one in the small cone

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Step-by-step explanation:

Assuming the maximum score for the final is 100\%, we can multiply each score by its respective course weight and add them together to give a final score. If your friend did receive this maximum score of 100\%, their overall grade for the course would be:

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