DeShawn left the hospital and drove toward the ferry office at an average speed of 30 mph. Shaun left sometime later driving in the same direction at an average speed of 50 mph. After driving for three hours Shaun caught up with DeShawn. Find the number of hours DeShawn drove before Shaun caught up

Question

Jaydin

Mathematics

30 June, 17:45

DeShawn left the hospital and drove toward the ferry office at an average speed of 30 mph. Shaun left sometime later driving in the same direction at an average speed of 50 mph. After driving for three hours Shaun caught up with DeShawn. Find the number of hours DeShawn drove before Shaun caught up

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Answers (1)

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Noel Bright · Answer 1

The number of hours DeShawn drove before Shaun caught up = 5 hours

Step-by-step explanation:

Average speed of DeShawn = 30 mph

Average speed of Shawn = 50 mph

After driving for three hours Shaun caught up with DeShawn.

Distance traveled by Shaun in 3 hours,

Distance = Time x Average speed = 50 x 3 = 150 miles.

So DeShawn also travels 150 miles, we need to find time DeShawn taken to travel this 150 miles,

Distance = Time x Average speed

150 = Time x 30

Time = 5 hours.

The number of hours DeShawn drove before Shaun caught up = 5 hours