Time and Distance

[Aniketh Sudunagunta]

charlie leaves home going 40 miles per hour. When charlie is 9 miles from home, Danny starts after charlie from the same place, going 55 miles per hour. How long does it take Danny to catch up charlie?

 

[math_celebrity]

Let h be the number of hours that pass when Charlie starts. We have the following equations:

• Charlie: D = 40h + 9
• Danny: D = 55h

Set them equal to each other:
40h + 9 = 55h

Subtract 40h from both sides:
15h = 9
h = 3/5

3/5 of an hour = 3(60)/5 = 36 minutes

 

[Aniketh Sudunagunta]

Thank you so much

Let h be the number of hours that pass when Charlie starts. We have the following equations:

• Charlie: D = 40h + 9
• Danny: D = 55h

Set them equal to each other:
40h + 9 = 55h

Subtract 40h from both sides:
15h = 9
h = 3/5

3/5 of an hour = 3(60)/5 = 36 minutes