A car travelling at 60 kmph overtakes another car travelling at 42 kmph. Assuming each car to be 5.0 m long, find the time taken to overtake and the total distance used for overtake.?

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Answer 1 · 2017-11-24T07:15:08

The time taken to overtake is #=2s#. The total distance to overtake is #=38.33m#

Let the speed of the first car be

#v_A=60*1000/3600=16.67ms^-1#

Let the speed of the second car be

#v_B=42*1000/3600=11.67ms^-1#

The length of each is #d=5m#

The time taken to overtake is

#t=d/(Deltav)=d/(v_A-v_B)=10/(16.67-11.67)=10/5=2s#

The total distance travelled to overtake is

#s=(3*16.67-11.67)=38.33m#