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Alik [6]
3 years ago
12

Mr. Howard and Ms. Egan enjoy running on the weekends. They both usually run at a steady pace and try to meet in the middle. The

y are 14 miles apart. Mr. Howard can run 3 miles in 30 minutes. Ms. Egan can run 4 miles in 30 minutes.
Mathematics
1 answer:
antoniya [11.8K]3 years ago
3 0

Given :

Distance between them, D = 14 miles .

Mr. Howard can run 3 miles in 30 minutes.

Ms. Egan can run 4 miles in 30 minutes.

To Find :

Time taken by them to meet.

Solution :

Mr Howard speed, v_H=\dfrac{3}{0.5}=6\ mph .

Mr Egan speed, v_e=\dfrac{4}{0.5}=- 8\ mph . [ Since they run in opposite direction ]

Their relative speed :

v=v_E-v_H\\\\v = 8-(-6) \ mph \\\\v = 14 \ mph

Time taken by them to meet :

T = \dfrac{14}{14}\ hours\\\\T = 1 \ hours

Hence, this is the required solution.

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