Ina 1200 m race, bike A beats bike B by 100 m. Bike beats like C by 100 m in a 600 m race. If bike A beats like C by 30 sec in a 720 m race, then what is the speed of bike C ?
Answer & explanation
Correct answer: option 1
In a 1200 m race, bike A beats bike B by 100 m
Ratio of A : B
Distance 1200 : 1100
Speed 12 : 11
( Ratio of distance and speed is same )
Bike B beats bike C by 100 m in a 600 m race.
Ratio of B : C
Distance 600 : 500
Speed 6 : 5
( Ratio of distance and speed is same )
Overall , A : B : C
72 : 66 : 55
According to question,
72R = 720 m
1R = 10 m
Now, Distance cover by C = 55 x 10 = 550 m
Difference in distance covered by them = 720 - 550 = 170 m
Bike C cover this 170 m in 30 sec.
Speed of C = \(\frac{170}{30}\)
= \(\frac{17}{3}\) m/sec