QUESTION

# In a kilometer race, A beats B by 30 seconds and B beats C by 15 seconds. If A beats C by 180 metres, the time taken by A to run 1 kilometer isA.250 secondsB.205 secondsC.200 secondsD.210 seconds

Hint- Let’s apply the conditions given in the problem and make equations with respect to that. Then calculate the difference in times of A and C to get the answer to this problem.
We’ll use the formula of speed,
${\text{Speed = }}\dfrac{{{\text{Distance}}}}{{{\text{time}}}}$

Therefore speed of C =$\dfrac{{{\text{Distance}}}}{{{\text{time}}}}$=$\dfrac{{180}}{{45}} = 4$ m/sec.
Therefore time taken by C to cover total distance =$\dfrac{{{\text{Distance}}}}{{{\text{time}}}}$=$\dfrac{{1000}}{4}$=250 seconds