Q: A running track has a perimeter of 735 metres. Peter and Tom begin walking in separate directions from the same place. How long will it take them to meet if they are walking at 6 km/hr and 8 km/hr, respectively?
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A
3 minutes
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B
3.12 minutes
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C
3.15 minutes
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D
4 minutes
C
Answer:
C
Explanation:
Let T be the time it takes for Peter and Tom to meet. We are given that Peter's speed is 35 km/hr and Tom's speed is 735 km/hr. We can use this information to set up the following equations:
Distance traveled by Peter = Speed x Time = 35 km/hr * T
Distance traveled by Tom = Speed x Time = 735 km/hr * T
We are also given that the sum of the distances traveled by Peter and Tom is equal to the circumference of the track, which is 735 meters. We can set up the following equation:
Distance traveled by Peter + Distance traveled by Tom = Circumference of track
35T + 735T = 735 meters
770T = 735 meters
T = 735 meters / 770 = 189 seconds
The time it takes for Peter and Tom to meet is 189 seconds. We can convert this to minutes by dividing by 60 seconds per minute:
Time in minutes = 189 seconds / 60 seconds per minute = 3.15 minutes.
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