The Chandlers are moving across the country. Mr. Chandler leaves 3.5 hours before Mrs. Chandler. If he averages 45mph and she averages 70mph, how many hours will it take Mrs. Chandler to catch up to 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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