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,

Question

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

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Evelyn 1 month 2021-10-18T13:29:20+00:00 1 Answer 0 views 0

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    2021-10-18T13:31:16+00:00

    Answer:

    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

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45:7+7-4:2-5:5*4+35:2 =? ( )