Solve.
-A motorcycle traveling at 50 miles per hour overtakes a car traveling at 30 miles per hour that had a three-hour head start. How far from the starting point are the two vehicles?
A) $56 \frac { 1 } { 4 } \mathrm { mi }$
B) $4 \frac { 1 } { 2 } \mathrm { mi }$
C) $7 \frac { 1 } { 2 } \mathrm { mi }$
D) $225 \mathrm { mi }$

Question

Solve.
-A motorcycle traveling at 50 miles per hour overtakes a car traveling at 30 miles per hour that had a three-hour head start. How far from the starting point are the two vehicles? 
A) $56 \frac { 1 } { 4 } \mathrm { mi }$
B) $4 \frac { 1 } { 2 } \mathrm { mi }$
C) $7 \frac { 1 } { 2 } \mathrm { mi }$
D) $225 \mathrm { mi }$

Quizplus · Accepted Answer

The car travels 30 miles per hour for 3 hours, covering 90 miles. The motorcycle catches up at a relative speed of 20 miles per hour (50 - 30). It takes 4.5 hours to close the 90-mile gap, so the distance from the start is 50 mph * 4.5 hours = 225 miles.

Solve -A Motorcycle Traveling at 50 Miles Per Hour Overtakes 5614mi56 \frac { 1 } { 4 } \mathrm { mi }5641​mi

Solve
-A Motorcycle Traveling at 50 Miles Per Hour Overtakes $56 \frac { 1 } { 4 } \mathrm { mi }$