The Chandlers are moving across the country. Mr. Chandler leaves 3 hours before Mrs. Chandler. If he averages 45mph and she averages 90mph, how long will it take Mrs. Chandler to overtake Mr. Chandler?
Answers
Given : The Chandlers are moving across the country.
Mr. Chandler leaves 3.5 hours before Mrs. Chandler.
he averages 45mph and she averages 70mph,
To Find : how many hours will it take Mrs. Chandler to catch up to Mr. Chandler?
Solution:
Distance = Speed x time
Let say T hours after Mrs. Chandler. catch up Mr. Chandler.
Then Distance covered by Mrs. Chandler. = 70 * T
Mr. Chandler travelled 3.5 hrs extra
so Distance covered by Mr. Chandler. = 45 * (T + 3.5)
Equating both distances
=> 70 * T = 45 * (T + 3.5)
=> 70 T = 45 T + 45 * 3.5
=> 25 T = 45 * 3.5
=> T = 9 * 0.7
=> T = 6.3
After 6.3 hrs or 6 hrs 18 mins Mrs. Chandler to catch up to Mr. Chandler
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