Racing cars A and B began their last lap around a race track at speeds 115.2 km/hr and 172.8 km/hr respectively. If car A reaches the finishing line, 15 sec after carB, how long was the race track?
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Step-by-step explanation:
Given : A's speed = 115.2km/hr
B's speed = 172.8km/hr
As time = 15 sec
Formula :speed = Distance traveled /time taken
Convert sec to hr = 15/60*60
1/240
A's time taken = 1/240 hr
As speed = distance traveled / time taken
115.2 km/ hr= D/ 1/ 240hr
= D *240 /1hr
115.2 km/hr/240 *1hr =D
0.48 km= D
As distance traveled by A and B is same
Bs distance =0.48km
Bs speed = distance traveled /time taken
172.8km/hr=0.48 km/time taken
time taken=0.48 km/172.8km/hr
=1/360 hr
Time taken in sec= 1*3600/360
=10 sec
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