A car went 60 km in 5/6 of an hour while a second car went 54 km in 2/3 h. Which car was faster? How many times faster?
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total distance of 1st car d1 = 60km
total time for 1st car t1 = (5/6)h
speed of 1st car s1 = d1/t1 = 60/(5/6) = 72km/h
total distance of 2nd car d2 = 54km
total time for 2nd car t2 = (2/3)h
speed of 2nd car s2 = d2/t2 = 54/(2/3) = 81km/h
so 2nd car is faster
so s2/s1 = 81/72 = 9/8
so s2= (9/8) s1
total time for 1st car t1 = (5/6)h
speed of 1st car s1 = d1/t1 = 60/(5/6) = 72km/h
total distance of 2nd car d2 = 54km
total time for 2nd car t2 = (2/3)h
speed of 2nd car s2 = d2/t2 = 54/(2/3) = 81km/h
so 2nd car is faster
so s2/s1 = 81/72 = 9/8
so s2= (9/8) s1
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