The caldwells are moving across the country. Mr Caldwell leaves 3 hours before Mrs Caldwell. If he averages 45 mph and she averages 65 mph, how many hours will it take Mrs Caldwell to catch mr. Caldwell

6 hours 45 minutes

Step-by-step explanation:

Let the time taken by Mr Caldwell to reach the same point as Mrs Caldwell =t

Mr Caldwell's Average Speed=45mph

Distance covered by Mr Caldwell = Speed X Time =45t

Mrs Caldwell left 3 hours later, so her time=t-3

Mrs Caldwell's Average Speed=65mph

Distance covered by Mrs Caldwell = Speed X Time =65(t-3)

Since they will be at the same point, it means their distance from starting point is the same, therefore:

45t=65(t-3)

45t=65t-195

65t-45t=195

20t=195

t=9.75 hours

It will take (t-3) hours to catch Mr Caldwell

t-3 = 9.75 - 3 =6.75 hours=6 hours 45 minutes

It will take 6 hours 45 minutes for Mrs Caldwell to catch Mr Caldwell

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.

option: d is the correct answer.

d) none of the above.

step-by-step explanation:

clearly from the figure attached to the question we could see that there is no shape given. hence without any shape given in the figure and after rotation we can't obtained a square pyramid.

since, to obtain a image we need a proper figure of the pre-image so that it can be transformed.

hence, the correct answer is:

d) none of the above.

step-by-step explanation: