Respuesta :
The time it will take before Diego catches up with Linh will be after 8 hours
Let :
- Distance traveled = d
Diego :
- Travel speed = 75 mph
- Travel time = t
Linh:
- Travel speed = 60 mph
- Travel time = t + 2
Recall :
- Distance covered = speed × time
- Distance covered by Linh = 60(t + 2)
- Distance covered by Diego = 75t
Time when Diego catches up with Linh :
Diego's distance = Linh's distance
75t = 60(t + 2)
Solve for t ;
75t = 60t + 120
Collect like terms
75t - 60t = 120
15t = 120
Divide both sides by 15 to isolate t
t = (120 / 15)
t = 8
Hence, Diego will catch up with Linh after 8 hours.
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