In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?
- 200 sec
- 210 sec
- 150 sec
- 190 sec
Explanation
Step 1: Let A's time = t seconds
- So, B’s time = t + 10 seconds
- B runs 950 meters in t seconds (because when A finishes, B is at 950 meters)
- So B’s speed = 950 / t meters per second
Now use B’s speed to find time B takes to run full 1000 meters:
Time = Distance / Speed = 1000 / (950 / t) = (1000t) / 950
We’re also told that B takes 10 seconds more than A:
So,
(1000t / 950) = t + 10
Multiply both sides by 950:
1000t = 950t + 9500
1000t - 950t = 9500
50t = 9500
t = 190 seconds
Related MCQs
- 50 km/hour
- 100 km/hour
- 150 km/hour
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
- 3 hours 30 minutes, treating the speed change as extra delay.
- 3 hours 18 minutes, being 48 + 48 12 minutes plus 1 hour 30 minutes.
- 2 hours 48 minutes, using an overall average speed.
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
- 60 minutes
- 90 minutes
- 108 minutes
- 120 minutes
اس سوال کو وضاحت کے ساتھ پڑھیں
- 10 minutes
- 15 minutes
- 20 minutes
- 25 minutes
اس سوال کو وضاحت کے ساتھ پڑھیں
- 6
- 8
- 10
- 12
اس سوال کو وضاحت کے ساتھ پڑھیں
