Answer to Question #232760 in Physics for victoria

Question #232760
In a 5.00 km race, one runner runs at a steady 11.5km/h and another runs at 14.0 km/h
How long does the faster runner have to wait at the finish line to see the slower runner cross?
1
Expert's answer
2021-09-03T08:25:19-0400

Given:

d=5.00kmd=5.00\:\rm km

v1=11.5km/hv_1=11.5\:\rm km/h

v2=14.0km/hv_2=14.0\:\rm km/h


The time of motion of runners

t1=dv1=5.0011.5=0.435ht_1=\frac{d}{v_1}=\frac{5.00}{11.5}=0.435\:\rm h

t2=dv2=5.0014.0=0.357ht_2=\frac{d}{v_2}=\frac{5.00}{14.0}=0.357\:\rm h

The difference of time

Δt=t1t2=0.4350.357=0.078h=4.68min\Delta t=t_1-t_2=0.435-0.357=0.078\:\rm h=4.68\: min


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