Question 1156788: Mortimer got into his car and drove away. Exactly 1 hour later, his wife Deborah began to chase after him. If Mortimer drove at 50 mph and Deborah drove along the same route at 75 mph, how many hours did it take her to catch him?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Mortimer got into his car and drove away.
Exactly 1 hour later, his wife Deborah began to chase after him.
If Mortimer drove at 50 mph and Deborah drove along the same route at 75 mph, how many hours did it take her to catch him?
:
let t = no. of hrs for D to catch M
When D catches M, they will have driven the same distance'
M drives 1 hr longer than D: (t+1)
Write a dist equation: dist = time * speed
D's dist = M's dist
75t = 50(t+1)
75t = 50t + 50
75t - 50t = 50
25t = 50
t = 50/25
t = 2 hrs for D to catch M
;
:
Confirm this, find the actual dist each drives
75(2) = 150 mi
50(2+1) = 150 mi
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