A and B run a kilometre and A wins by 25 sec. A and C run a kilometre and A wins by 275 m. When B and C run the same distance, B wins by 30 sec. The time taken by A to run a kilometre is :
A. 2 min 25 sec
B. 2 min 50 sec
C. 3 min 20 sec
D. 3 min 30 sec
Answer: Option A
Solution(By Examveda Team)
Let the time taken by A to cover 1 km = x secTime taken by B and C to cover the same distance = (x + 25) sec and (x + 55) sec
$$\eqalign{ & \frac{{\text{A}}}{{\text{C}}} = \frac{{29}}{{40}} = \frac{x}{{x + 55}} \cr & \Rightarrow 29x + 1595 = 40x \cr & \Rightarrow x = \frac{{1595}}{{11}} \cr & \Rightarrow x = 145 \cr} $$
∴ Time taken by A
= 145 sec
= 2 minutes 25 seconds
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Related Questions on Speed Time and Distance
A. 48 min.
B. 60 min.
C. 42 min.
D. 62 min.
E. 66 min.
A. 262.4 km
B. 260 km
C. 283.33 km
D. 275 km
E. None of these
A. 4 hours
B. 4 hours 30 min.
C. 4 hours 45 min.
D. 5 hours
Distance ar time ke ratio ko ulta kyu kiya