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company and how much was invested in the hedge fund?
3. Linh travels across the country towards California at a leisurely 60 miles per
hour. Diego leaves from the same place two hour after Linh left and attempts
to catch up to Linh by going 75 limes per hour. How long will it take him to
catch up to her. Note that when he catches up to her they will have traveled
the same distance.

Sagot :

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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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